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Academic literature on the topic 'Solitons'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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Journal articles on the topic "Solitons"

1

Aycock, Lauren M., Hilary M. Hurst, Dmitry K. Efimkin, et al. "Brownian motion of solitons in a Bose–Einstein condensate." Proceedings of the National Academy of Sciences 114, no. 10 (2017): 2503–8. http://dx.doi.org/10.1073/pnas.1615004114.

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We observed and controlled the Brownian motion of solitons. We launched solitonic excitations in highly elongatedRb87Bose–Einstein condensates (BECs) and showed that a dilute background of impurity atoms in a different internal state dramatically affects the soliton. With no impurities and in one dimension (1D), these solitons would have an infinite lifetime, a consequence of integrability. In our experiment, the added impurities scatter off the much larger soliton, contributing to its Brownian motion and decreasing its lifetime. We describe the soliton’s diffusive behavior using a quasi-1D sc

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Segovia, Francis Armando, and Emilse Cabrera. "SOLUCIÓN DE LA ECUACIÓN NO LINEAL DE SCHRODINGER (1+1) EN UN MEDIO KERR." Redes de Ingeniería 6, no. 2 (2015): 26. http://dx.doi.org/10.14483/udistrital.jour.redes.2015.2.a03.

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Se presenta un marco teórico y se muestra una simulación numérica de la propagación de solitones. Con especial atención a los solitones ópticos espaciales, se calcula analíticamente el perfil de solitón correspondiente a la ecuación Schrodinger no-lineal para un medio Kerr. Los resultados muestran que los solitones ópticos son pulsos estables cuya forma y espectro son preservados en grandes distancias.Solution of the nonlinear Schrodinger equation (1+1) in a Kerr mediumABSTRACTThis document presents a theoretical framework and shows a numerical simulation for the propagation of solitons. With

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Zhao, Xue-Hui, Bo Tian, Yong-Jiang Guo, and Hui-Min Li. "Solitons interaction and integrability for a (2+1)-dimensional variable-coefficient Broer–Kaup system in water waves." Modern Physics Letters B 32, no. 08 (2018): 1750268. http://dx.doi.org/10.1142/s0217984917502682.

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Under investigation in this paper is a (2+1)-dimensional variable-coefficient Broer–Kaup system in water waves. Via the symbolic computation, Bell polynomials and Hirota method, the Bäcklund transformation, Lax pair, bilinear forms, one- and two-soliton solutions are derived. Propagation and interaction for the solitons are illustrated: Amplitudes and shapes of the one soliton keep invariant during the propagation, which implies that the transport of the energy is stable for the (2+1)-dimensional water waves; and inelastic interactions between the two solitons are discussed. Elastic interactio

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GONZÁLEZ, JORGE A., and JOSE R. CARBÓ. "STATIONARITY-BREAKING BIFURCATIONS OF SOLITONS UNDER NONLINEAR DAMPING." Modern Physics Letters B 08, no. 12 (1994): 739–48. http://dx.doi.org/10.1142/s0217984994000741.

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The existence and dynamics of solitons in general systems with nonlinear damping are investigated. The mechanism of a new bifurcation after which the soliton can no longer be in a stationary state is discussed. Some particular cases are studied in detail and exact solutions are presented. The possibility and importance of self-sustained solitons, solitonic limit cycles, and chaotic solitons in these systems are analyzed.

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Meng, Yong, Hafiz Wajahat Ahmed Riaz, and Ji Lin. "New types of nondegenerate solitons for a (2+1)-dimensional coupled system*." Communications in Theoretical Physics 77, no. 9 (2025): 095001. https://doi.org/10.1088/1572-9494/adc240.

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Abstract In this paper, we investigate the (2+1)-dimensional three-component long-wave-short-wave resonance interaction system, which describes complex systems and nonlinear wave phenomena in physics. By employing the Hirota bilinear method, we derive the general nondegenerate N-soliton solution of the system, where each short-wave component contains N arbitrary functions of the independent variable y. The presence of these arbitrary functions in the analytical solution enables the construction of a wide range of nondegenerate soliton types. Finally, we illustrate the structural features of se

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Xiao, Zi-Jian, Bo Tian, and Yan Sun. "Soliton interactions and Bäcklund transformation for a (2+1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili equation in fluid dynamics." Modern Physics Letters B 32, no. 02 (2018): 1750170. http://dx.doi.org/10.1142/s0217984917501706.

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In this paper, we investigate a (2[Formula: see text]+[Formula: see text]1)-dimensional variable-coefficient modified Kadomtsev-Petviashvili (mKP) equation in fluid dynamics. With the binary Bell-polynomial and an auxiliary function, bilinear forms for the equation are constructed. Based on the bilinear forms, multi-soliton solutions and Bell-polynomial-type Bäcklund transformation for such an equation are obtained through the symbolic computation. Soliton interactions are presented. Based on the graphic analysis, Parametric conditions for the existence of the shock waves, elevation solitons a

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Peng, Yangyang, Guangyu Xu, Keyun Zhang, Meisong Liao, Yongzheng Fang, and Yan Zhou. "Modulating anti-dark vector solitons." Laser Physics 33, no. 9 (2023): 095101. http://dx.doi.org/10.1088/1555-6611/ace251.

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Abstract Theoretical analysis of the modulation of anti-dark vector solitons is conducted in this work. The simulation depends on a single-mode optical fiber out-cavity modulation system model that works at 1 μm. The anti-dark vector soliton’s initial state is assumed to be polarization-/group-velocity-locked, with same/different central wavelengths in orthogonally polarized directions. After soliton parameter modulation, modulated anti-dark vector solitons at the output port will demonstrate different properties in orthogonal directions. For example, two symmetrically located frequency peaks

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Zhang, Ling-Ling, and Xiao-Min Wang. "Bright–dark soliton dynamics and interaction for the variable coefficient three-coupled nonlinear Schrödinger equations." Modern Physics Letters B 34, no. 05 (2019): 2050064. http://dx.doi.org/10.1142/s0217984920500645.

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Under investigation in this paper is the variable coefficient three-coupled nonlinear Schrödinger (CNLS) equations, which govern the dynamics of solitonic excitations along three-spine [Formula: see text]-helical protein with inhomogeneous effect. Via the Hirota method and symbolic computation, the exact two-bright-one-dark (TBD) and one-bright-two-dark (BTD) soliton solutions are constructed analytically. The propagation properties are discussed for TBD and BTD solitons when the variable coefficient is a hyperbolic secant function. Figures are plotted to reveal the following interactions of T

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PENG, GANG-DING, and ADRIAN ANKIEWICZ. "FUNDAMENTAL AND SECOND-ORDER SOLITION TRANSMISSION IN NONLINEAR DIRECTIONAL FIBER COUPLERS." Journal of Nonlinear Optical Physics & Materials 01, no. 01 (1992): 135–50. http://dx.doi.org/10.1142/s021819919200008x.

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Transmission characteristics of first-order and second-order solitons propagating through a nonlinear optical fiber coupler are investigated by analysing the coupled nonlinear Schrödinger equations (NLSEs). We show that it is most advantageous to use fundamental solitions to make an ideal optical switch which can be used in multiplexing and/or demultiplexing soliton signals from different sources, and that such a switch can have a high switching efficiency and intact soliton output. Also, we have analyzed the relation between critical power of a soliton switch and that of a cw switch, and have

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Singh, Abhishek, та Shyam Kishor. "SOME TYPES OF η-RICCI SOLITONS ON LORENTZIAN PARA-SASAKIAN MANIFOLDS". Facta Universitatis, Series: Mathematics and Informatics 33, № 2 (2018): 217. http://dx.doi.org/10.22190/fumi1802217s.

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In this paper we study some types of η-Ricci solitons on Lorentzianpara-Sasakian manifolds and we give an example of η-Ricci solitons on 3-dimensional Lorentzian para-Sasakian manifold. We obtain the conditions of η-Ricci soliton on ϕ-conformally flat, ϕ-conharmonically flat and ϕ-projectivelyflat Lorentzian para-Sasakian manifolds, the existence of η-Ricci solitons implies that (M,g) is η-Einstein manifold. In these cases there is no Ricci solitonon M with the potential vector field

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Dissertations / Theses on the topic "Solitons"

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Prabhu, Nagabhushana 1966. "Aspects of solition physics : existence of static solitons in an expanding universe and quantum soliton-antisoliton annihilation." Thesis, Massachusetts Institute of Technology, 1998. http://hdl.handle.net/1721.1/47461.

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Zamaklar, Marija. "Solitons on branes and brane solitons in supergravity theories." Thesis, University of Cambridge, 2002. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.620358.

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Bahri, Yakine. "Stability of solitons and multi-solitons for Landau-Lifschitz equation." Thesis, Université Paris-Saclay (ComUE), 2016. http://www.theses.fr/2016SACLX028/document.

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Dans cette thèse, nous étudions l'équation de Landau-Lifshitz avec une anisotropie planaire en dimension un. Cette équation décrit la dynamique de l'aimantation dans des matériaux ferromagnétiques. Elle admet des solutions particulières de type onde progressive appelées solitons.D'abord, nous montrons la stabilité asymptotique des solitons de vitesse non nulle appelés solitons sombres dans l'espace d'énergie. Plus précisément, nous prouvons que toute solution correspondant à une donnée initiale proche du soliton de vitesse non nulle, converge faiblement dans l'espace d'énergie en temps long, v

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Harland, Derek. "Chains of solitons." Thesis, Durham University, 2008. http://etheses.dur.ac.uk/2303/.

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We construct and analyse chains of solitons in various field theories. Particular emphasis is placed on the constituent structure, which appears to be be a generic feature of chains. In Yang-Mills theory, we construct axially symmetric chains of instantons (calorons) with instanton charge 2, making essential use of the Nahm transform. We show that there are two distinct families of caloron, which can be distinguished using representation theory. We also construct calorons on hyperbolic space with instanton charge 1 and monopole charge 0. This generalises earlier work of Garland and Murray, in

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Suntsov, Sergiy. "DISCRETE SURFACE SOLITONS." Doctoral diss., University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2901.

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Surface waves exist along the interfaces between two different media and are known to display properties that have no analogue in continuous systems. In years past, they have been the subject of many studies in a diverse collection of scientific disciplines. In optics, one of the mechanisms through which optical surface waves can exist is material nonlinearity. Until recently, most of the activity in this area was focused on interfaces between continuous media but no successful experiments have been reported. However, the growing interest that nonlinear discrete optics has attracted in the las

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Morandotti, Roberto. "Discrete optical solitons." Thesis, University of Glasgow, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.300979.

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Zárate, Devia Yair Daniel. "Phase shielding solitons." Tesis, Universidad de Chile, 2013. http://www.repositorio.uchile.cl/handle/2250/115388.

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Magíster en Ciencias, Mención Física<br>Los solitones son el fen omeno universal m as profundamente estudiado, debido a los innumerables sistemas físicos en los cuales se observa. Estas soluciones corresponden a estados localizados y coherentes que surgen naturalmente en sistemas extendidos, siendo una de sus propiedades m as fascinantes el hecho de que pueden ser tratados como partículas macroscópicas a pesar de estar formados por numerosos componentes microscópicos. Desde su primera descripci on, realizada por J. S. Russell en 1884, el estudio de solitones se centró en sistemas conservativo

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Hivet, Romain. "Solitons, demi-solitons et réseaux de vortex dans un fluide de polaritons." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2013. http://tel.archives-ouvertes.fr/tel-00911207.

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Ce travail est consacré à l'étude des fluides quantiques de polaritons de microcavités semi-conductrices et en particulier à la génération de solitons, de demi-solitons et de réseaux de vortex. Nous avons développé un dispositif expérimental permettant la génération et l'observation de solitons sombres dans un fluide de polaritons. Nous observons les profils de densité et de phase caractéristiques des solitons, et étudions leurs propriétés de stabilité. Nous montrons expérimentalement que l'utilisation d'une pompe polarisée linéairement mène à la formation de demi-solitons, grâce au champ magn

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Irwin, P. "Classical and quantized solitons." Thesis, University of Cambridge, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.604958.

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This thesis is concerned with the classical and semi-classical behaviour of solitons in three dimensions. In Chapter 2 we consider the zero mode quantization of the minimal energy Skyrmions for nucleon numbers between four and nine and also the conjectured solution with nucleon number of seventeen. The method relies on determining the contractibility of the loops in the configuration space corresponding to the discrete symmetry of the minimal energy solution. We find that for nucleon numbers four, six and eight the ground states obtained agree with the observed quantum numbers of the ground st

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Shiiki, Noriko. "Solitons and black holes." Thesis, University of Newcastle Upon Tyne, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.313504.

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Books on the topic "Solitons"

1

MacKenzie, R., M. B. Paranjape, and W. J. Zakrzewski, eds. Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6.

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Lakshmanan, Muthusamy, ed. Solitons. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-642-73193-8.

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E, Trullinger S., Zakharov Vladimir Evgen'evich, and Pokrovskií V. L, eds. Solitons. North-Holland, 1986.

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Trillo, Stefano, and William Torruellas, eds. Spatial Solitons. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-540-44582-1.

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Porsezian, K., and V. C. Kuriakose, eds. Optical Solitons. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-36141-3.

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Abdullaev, Fatkhulla, Sergei Darmanyan, and Pulat Khabibullaev. Optical Solitons. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-87716-2.

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Akhmediev, Nail, and Adrian Ankiewicz, eds. Dissipative Solitons. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/b11728.

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A, Yung, ed. Supersymmetric solitons. Cambridge University Press, 2009.

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Abdullaev, F. Kh. Optical solitons. Springer, 1993.

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N, Akhmediev Nail, and Ankiewicz Adrian, eds. Dissipative solitons. Springer, 2005.

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Book chapters on the topic "Solitons"

1

Scharf, Rainer. "Dressed Solitons and Soliton Chaos." In Nonlinear Coherent Structures in Physics and Biology. Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-1343-2_56.

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Ao, Ping, and Xiao-Mei Zhu. "Berry Phase and Dissipation of Topological Singularities." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_1.

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Hosotani, Yutaka. "Gauge Theory Description of Spin Chains and Ladders." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_10.

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Ioannidou, Theodora. "Soliton Solutions of the Integrable Chiral Model in (2+1) Dimensions." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_11.

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Kogan, Ian I. "String Winding Modes From Charge Nonconservation in Compact Chern-Simons Theory." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_12.

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Kugler, M. "Holes in the Charge Density of Topological Solitons." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_13.

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Gegenberg, J., and G. Kunstatter. "From Two-dimensional Black Holes to sine-Gordon Solitons." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_14.

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Loutsenko, I., and D. Roubtsov. "Solitons and Exciton Superfluidity." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_15.

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Lue, Arthur. "Quantum Effects on Higgs Winding Configurations." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_16.

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Manton, N. S. "Solitons and Their Moduli Spaces." In Solitons. Springer New York, 2000. http://dx.doi.org/10.1007/978-1-4612-1254-6_17.

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Conference papers on the topic "Solitons"

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Leo, François. "Temporal Solitons in Ring Resonators." In CLEO: Science and Innovations. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_si.2024.sf1q.4.

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In this talk I will present our recent results about soliton generation in fiber and integrated resonators. I will discuss active solitons, parametrically driven solitons as well as electro-optic solitons.

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Kwasny, Michal, Urszula A. Laudyn, Miroslaw Karpierz, et al. "Observation of New Class of Bright Solitons: Tower and Volcano Solitons." In CLEO: Fundamental Science. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.fth4f.6.

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We report the first experimental observation of a novel fundamental soliton class, termed Tower and Volcano solitons, in soft-matter systems characterized by nonlinear responses driven by competing nonlocal interactions.

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Yu, Yan, Jinhao Ge, Maodong Gao, et al. "Counter-propagating solitons in coupled ring microresonators." In CLEO: Fundamental Science. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.fth4f.4.

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Counter-propagating solitons are generated in CMOS-ready coupled microresonators featuring normal dispersion. In each direction, the soliton mode locks and compensates the dispersion through the formation of a pulse pair. Both the spectra and the radiofrequency beatnotes of counter-propagating solitons are observed.

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Simon, Corentin, Nicolas Englebert, François Leo, and Simon-Pierre Gorza. "High brightness coherently driven active fiber cavity soliton crystals by optical gain clamping." In CLEO: Fundamental Science. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_fs.2024.fth4f.3.

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Active cavity solitons suffer from gain saturation preventing high average cavity power. We overcome this limitation by optical gain clamping and demonstrate the generation of numerous solitons, opening the way to high power soliton crystals.

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Gao, Maodong, Jinhao Ge, Zhiquan Yuan, et al. "Multi-Color Solitons in Coupled-Ring Microresonators." In CLEO: Science and Innovations. Optica Publishing Group, 2024. http://dx.doi.org/10.1364/cleo_si.2024.sm3g.1.

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Multi-color co-propagating and counter-propagating solitons are generated using a coupled-ring microresonator in the ultra-low-loss Si3N4 platform. Soliton spectra and beatnotes are measured and potential applications are discussed.

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Grigoryan, V. S., A. Hasegawa, and A. Maruta. "Parametric Trapping and Self-Ordering of Solitons." In International Conference on Ultrafast Phenomena. Optica Publishing Group, 1996. http://dx.doi.org/10.1364/up.1996.tue.53.

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One basic problem in high bit rate soliton communication and storage systems is the soliton’s time position jittering. This jittering is caused by the soliton frequency diffusion which originates either from amplified spontaneous emission in repeaters [1] or from soliton-soliton interactions. Use of filtering along with amplification in repeaters permits only partially suppress the time position jittering [2,3]. Without filtering mean-square time position increases as distance cubed, whereas with filtering it increases linearly in distance. Recently big progress was achieved in experiment of M

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Zhao, W., and E. Bourkoff. "Compression of optical dark solitons." In OSA Annual Meeting. Optica Publishing Group, 1990. http://dx.doi.org/10.1364/oam.1990.wv2.

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Optical dark solitons are shown to undergo amplification and compression under the influence of a constant gain in the nonlinear Schrödinger equation. When the gain is small, the pulse follows a simple adiabatic, perturbative expression. For a fundamental dark soliton input, the pulse remains a single hyperbolic tangent shape and its duration decreases exponentially as a result of the gain. When the gain is large, secondary dark solitons1 are generated and the pulse duration fails to follow the exponential rule during the initial stage of propagation. The duration does, however, decrease expon

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Rothenberg, Joshua E. "Generation of dark solitons by nonlinear fiber propagation." In Integrated Photonics Research. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/ipr.1991.tua1.

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Dark solitons1 are characterized by an intensity dip on a continuous background, which propagates unaltered. Although a true continuous background wave may be impractical, it has been shown that dark pulses on a background pulse of finite width can propagate adiabatically as solitons.2 Dark solitons have been observed in optical fibers by a few different experimental techniques3; however, the generation of the dark soliton trains from the interference and nonlinear copropagation of two delayed visible pulses in an optical fiber is numerically investigated.

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Serkin, V. N., Akira Hasegawa, and T. L. Belyaeva. "Soliton management: from optical solitons to matter-wave solitons." In SPIE Proceedings, edited by Peter A. Atanasov, Tanja N. Dreischuh, Sanka V. Gateva, and Lubomir M. Kovachev. SPIE, 2007. http://dx.doi.org/10.1117/12.727102.

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Snyder, A. W., S. J. Hewlett, and D. J. Mitchell. "Dynamic spatial solitons." In Nonlinear Guided-Wave Phenomena. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/nlgwp.1993.pd.1.

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We consider the expanded class of one- and two-dimensional spatial solitons that exist when the soliton is a compound entity composed of two orthogonal beams [1-3]. These solitons propagate in a homogeneous isotropic medium whose refractive index has an arbitrary dependence on intensity. As with classical solitons, their intensity profile remains axially uniform but, in addition, their polarization state now changes continuously with propagation. We refer to this new class of self-guided waves as ‘dynamic solitons’ because of their internal field dynamics. Dynamic solitons can have an arbitrar

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Reports on the topic "Solitons"

1

Apel, John R., Lev A. Ostrovsky, Yury A. Stepanyants, and James F. Lynch. Internal Solitons in the Oceans. Defense Technical Information Center, 2006. http://dx.doi.org/10.21236/ada450369.

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Vahala, George. Type-II Quantum Algorithms for Solitons. Defense Technical Information Center, 2004. http://dx.doi.org/10.21236/ada420618.

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Segev, Mordechay. Photorefractive Spatial Solitons: Fundamentals and Applications. Defense Technical Information Center, 1999. http://dx.doi.org/10.21236/ada379085.

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Sun, Xin, Dingwei Lu, Rouli Fu, D. L. Lin, and Thomas F. George. Gap States of Charged Solitons in Polyacetylene. Defense Technical Information Center, 1989. http://dx.doi.org/10.21236/ada212105.

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Chen, P. Brane Inflation, Solitons and Cosmological Solutions: I. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/839660.

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Bahcall, S., and B. W. Lynn. Potential motion for Thomas-Fermi non-topological solitons. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/79126.

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Szabo, Richard J. Matrix Models, Large N Limits and Noncommutative Solitons. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-7-2006-85-106.

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Fork, Richard L. Exploring Coupled Solitons in Multi-Core Optical Fiber. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada299184.

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Sauer, Jon R., and Mark J. Ablowitz. Multi-Gb/s Computer Interconnect Using Optical Solitons. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada301163.

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Amin, Mustafa. Final Report -- Wires, Solitons and the Big Bang. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1647549.

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