Relevant bibliographies by topics / Three-dimensional solitons

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Three-dimensional solitons'

Author: Grafiati
Published: 28 May 2022
Last updated: 30 July 2025

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Journal articles on the topic "Three-dimensional solitons"

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Liu, Siyao. "Algebraic Schouten Solitons of Three-Dimensional Lorentzian Lie Groups." Symmetry 15, no. 4 (2023): 866. http://dx.doi.org/10.3390/sym15040866.

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In 2016, Wears defined and studied algebraic T-solitons. In this paper, we define algebraic Schouten solitons as a special T-soliton and classify the algebraic Schouten solitons associated with Levi-Civita connections, canonical connections, and Kobayashi–Nomizu connections on three-dimensional Lorentzian Lie groups that have some product structure.
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De, Uday Chand, and Chiranjib Dey. "On Three Dimensional Cosymplectic Manifolds Admitting Almost Ricci Solitons." Tamkang Journal of Mathematics 51, no. 4 (2020): 303–12. http://dx.doi.org/10.5556/j.tkjm.51.2020.3077.

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In the present paper we study three dimensional cosymplectic manifolds admitting almost Ricci solitons. Among others we prove that in a three dimensional compact orientable cosymplectic manifold M^3 withoutboundary an almost Ricci soliton reduces to Ricci soliton under certain restriction on the potential function lambda. As a consequence we obtain several corollaries. Moreover we study gradient almost Ricci solitons.
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Zhmudskii, A. A., and B. A. Ivanov. "Magnon bubbles: a new type of three-dimensional magnetic soliton." Soviet Journal of Low Temperature Physics 12, no. 6 (1986): 367–68. https://doi.org/10.1063/10.0031524.

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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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Mondal, Ashis. "Three-dimensional para-Kenmotsu manifolds admitting eta-Ricci solitons." Gulf Journal of Mathematics 11, no. 2 (2021): 44–52. http://dx.doi.org/10.56947/gjom.v11i2.584.

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In the present paper we study η-Ricci solitons on three-dimensional para-Kenmotsu manifolds with the curvature condition R.Q=0. Also we study conformal flat, projectively flat and concircularly flat η-Ricci soliton on a three-dimensional para-Kenmotsu manifold. Finally, we construct an example of a three-dimensional para-Kenmotsu manifold which admits η-Ricci solitons.
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FERRETTI, G., S. G. RAJEEV, and Z. YANG. "BARYONS AS SOLITONS IN THREE-DIMENSIONAL QUANTUM CHROMODYNAMICS." International Journal of Modern Physics A 07, no. 32 (1992): 8001–19. http://dx.doi.org/10.1142/s0217751x92003628.

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We show that baryons of three-dimensional quantum chromodynamics can be understood as solitons of its effective Lagrangian. In the parity-preserving phase we study, these baryons are fermions for odd Nc and bosons for even Nc, never anyons. We quantize the collective variables of the solitons and thereby calculate the flavor quantum numbers. magnetic moments and mass splittings of the baryon. The flavor quantum numbers are in agreement with naive quark model for the low-lying states. The magnetic moments and mass splittings are smaller in the soliton model by a factor of logFπ/Ncmπ. We also sh
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Turan, Mine, Chand De, and Ahmet Yildiz. "Ricci solitons and gradient Ricci solitons in three-dimensional trans-Sasakian manifolds." Filomat 26, no. 2 (2012): 363–70. http://dx.doi.org/10.2298/fil1202363t.

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The object of the present paper is to study 3-dimensional trans-Sasakian manifolds admitting Ricci solitons and gradient Ricci solitons. We prove that if (1,V, ?) is a Ricci soliton where V is collinear with the characteristic vector field ?, then V is a constant multiple of ? and the manifold is of constant scalar curvature provided ?, ? =constant. Next we prove that in a 3-dimensional trans-Sasakian manifold with constant scalar curvature if 1 is a gradient Ricci soliton, then the manifold is either a ?-Kenmotsu manifold or an Einstein manifold. As a consequence of this result we obtain seve
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Lu, Dianchen, Aly R. Seadawy, and Iftikhar Ahmed. "Applications of mixed lump-solitons solutions and multi-peaks solitons for newly extended (2+1)-dimensional Boussinesq wave equation." Modern Physics Letters B 33, no. 29 (2019): 1950363. http://dx.doi.org/10.1142/s0217984919503639.

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In this work, based on the Hirota bilinear method, mixed lump-solitons solutions and multi-peaks solitons are derived for a new extended (2[Formula: see text]+[Formula: see text]1)-dimensional Boussinesq equation by using ansatz function technique with symbolic computation. Through the mixed lump-solitons, we obtained two types of interaction phenomena, first from lump-single soliton solution and other from lump-two soliton solutions and their dynamics is given by three-dimensional plots and two-dimensional contour plots by taking appropriate values of given parameters. Furthermore, we obtaine
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Sun, Yan, Bo Tian, Hui-Ling Zhen, Xiao-Yu Wu, and Xi-Yang Xie. "Soliton solutions for a (3 + 1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov equation in a plasma." Modern Physics Letters B 30, no. 20 (2016): 1650213. http://dx.doi.org/10.1142/s0217984916502134.

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Under investigation in this paper is a (3 + 1)-dimensional modified Korteweg–de Vries–Zakharov–Kuznetsov (KdV-ZK) equation, which describes the nonlinear behaviors of ion-acoustic waves in a magnetized plasma where the cooler ions are treated as a fluid with adiabatic pressure and the hot isothermal electrons are described by a Boltzmann distribution. With the Hirota method and symbolic computation, we obtain the one-, two- and three-soliton solutions for such an equation. We graphically study the solitons related with the coefficient of the cubic nonlinearity [Formula: see text]. Amplitude of
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Aburdzhaniya, G. D., V. P. Lakhin, and A. B. Mikhailovskii. "Nonlinear regular structures of drift magneto-acoustic waves." Journal of Plasma Physics 38, no. 3 (1987): 373–86. http://dx.doi.org/10.1017/s0022377800012666.

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Nonlinear regular structures in a magnetized plasma connected with drift magneto-acoustic waves (DMA) are investigated theoretically. Three-dimensional nonlinear equations of weakly dispersive DMA waves are obtained. These equations contain both the scalar nonlinearity and the vector one, and generalize the two-dimensional Kadomtsev–Petviashvili (KP) equation. The existence is shown of regular stationary structures due to the scalar nonlinearity: one-dimensional solitons, two-dimensional rational solitons, chains of solitons and so-called ‘crosses’. The stability of one-dimensional DMA soliton
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Dissertations / Theses on the topic "Three-dimensional solitons"

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Roush, Douglas L. "Three-dimensional analysis of Azimuthal dependence of sound propagation through shallow-water internal solitary waves." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 2006. http://library.nps.navy.mil/uhtbin/hyperion/06Jun%5FRoush.pdf.

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Thesis (M.S. in Meteorology and Physical Oceanography)--Naval Postgraduate School, June 2006.<br>Thesis Advisor(s): John A. Colosi. "June 2006." Includes bibliographical references (p.43). Also available in print.
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Ramos, Guallar Daniel. "Ricci flow on cone surfaces and a three-dimensional expanding soliton." Doctoral thesis, Universitat Autònoma de Barcelona, 2014. http://hdl.handle.net/10803/133325.

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El principal objectiu d'aquesta tesi és l'estudi de l'evolució mitjançant el flux de Ricci de superfícies amb singularitats de tipus cònic. Un segon objectiu, sorgit de les tècniques que utilitzem, és l'estudi de famílies de solitons del flux de Ricci en dimensió 2 i 3. El flux de Ricci és una equació d'evolució per a varietats Riemannianes, introduïda per R. Hamilton el 1982. És des dels avenços assolits per G. Perelman amb aquesta tècnica el 2002 quan el flux de Ricci s'ha establert com a una disciplina pròpia, aixecant un gran interès per la comunitat. Aquesta tesi conté quatre resultats or
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Ніколенко, Валентина Володимирівна, Валентина Владимировна Николенко, Valentyna Volodymyrivna Nikolenko та Е. Н. Хряпина. "Трехмерные солитоны". Thesis, Издательство СумГУ, 2011. http://essuir.sumdu.edu.ua/handle/123456789/8114.

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Book chapters on the topic "Three-dimensional solitons"

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Davydov, A. S. "Three-Dimensional Solitons (Polarons) In Ionic Crystals." In Solitons in Molecular Systems. Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-3340-1_14.

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Davydov, A. S. "Three-Dimensional Solitons (Polarons) in Ionic Crystals." In Solitons in Molecular Systems. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-017-3025-9_13.

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Ioannidou, T., B. Piette, and W. Zakrzewski. "Three dimensional skyrmions and harmonic maps." In Bäcklund and Darboux Transformations. The Geometry of Solitons. American Mathematical Society, 2001. http://dx.doi.org/10.1090/crmp/029/24.

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Saitoh, N. "Three-Dimensional Lattice Model Based on Soliton Theory." In Nonlinear Physics. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_20.

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Barthelemy, A., C. Froehly, M. Shalaby, P. Donnat, J. Paye, and A. Migus. "Soliton-Like Self-Trapping of Three-Dimensional Patterns." In Ultrafast Phenomena VIII. Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-642-84910-7_91.

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Zhonghao, Li, and Zhou Guosheng. "Optical Soliton Solutions in Three Dimensional Bulk Dispersive Linear Media." In Coherence and Quantum Optics VII. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-9742-8_96.

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Dunajski, Maciej. "Integrability of ASDYM and twistor theory." In Solitons, Instantons, and Twistors, 2nd ed. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780198872535.003.0007.

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Abstract In this chapter we explore the integrability of anti-self-dual Yang-Mills equations (ASDYM) using twistor methods. The twistor transform is a far-reaching generalization of the inverse scattering transform studied in Chapter 2. All local solutions to the ASDYM equations are parameterized by certain holomorphic vector bundles over a three-dimensional complex manifold called the twistor space.
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Dunajski, Maciej. "Lagrangian formalism and field theory." In Solitons, Instantons, and Twistors. Oxford University PressOxford, 2009. http://dx.doi.org/10.1093/oso/9780198570622.003.0005.

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Abstract Our treatment of integrable systems in the first three chapters made essential use of the Hamiltonian formalism both in finite and infinite dimensional settings. In the next two chapters we shall concentrate on classical field theory, where the covariant formulation requires the Lagrangian formalism. It is assumed that the reader has covered the Lagrangian treatment of classical mechanics and classical field theory at the basic level [102, 187]. The aim of this chapter is not to provide a crash course in these subjects, but rather to introduce less standard aspects.
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Dunajski, Maciej. "Integrability of ASDYM and twistor theory." In Solitons, Instantons, and Twistors. Oxford University PressOxford, 2009. http://dx.doi.org/10.1093/oso/9780198570622.003.0007.

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Abstract The ASDYM equations played an important role in the last chapter because of their connection with the YM instantons. In this chapter we shall explore the integrability of these equations using the twistor methods. The twistor transform described in Section 7.2 is a far reaching generalization of the inverse scattering transform studied in Chapter 2. All local solutions to the ASDYM equations will be parameterized by certain holomorphic vector bundles over a three-dimensional complex manifold called the twistor space. Some solutions to ASDYM can be written down explicitly as the equati
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"Power-dependent walk-off in bias-free nematic liquid crystals: Numerical results." In Book of Abstracts - RAD 2025 Conference. RAD Centre, Niš, Serbia, 2025. https://doi.org/10.21175/rad.abstr.book.2025.30.4.

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We investigate numerically full three-dimensional model for beam propagation in highly nonlocal bias-free nematic liquid crystals, which account for the power-dependent walk-off and absorption. We calculate the fundamental soliton profiles using the modified Petviashvili method. To check the stability of such optical soliton solutions, we propagate them in anisotropic bias-free nematic liquid crystals with arbitrarily large birefringence. The numerical results are in good correlation with the experimental ones.
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Conference papers on the topic "Three-dimensional solitons"

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Huang, Q., W. He, X. Zhang, et al. "Observation of Breathing Solitons in a Three-Dimensional Phase Space in a Mode-Locked Fibre Laser." In 2024 Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR). IEEE, 2024. http://dx.doi.org/10.1109/cleo-pr60912.2024.10676761.

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Skupin, S., F. Maucher, and W. Krolikowski. "Rotating three-dimensional solitons." In 2010 International Conference on Advanced Optoelectronics and Lasers (CAOL). IEEE, 2010. http://dx.doi.org/10.1109/caol.2010.5634252.

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Falcao-Filho, Edilson L., Cid B. de Araujo, Georges Boudebs, Herve Leblond, and Vladimir Skarka. "Three-dimensional spatial solitons in CS2." In Quantum Electronics and Laser Science Conference. OSA, 2012. http://dx.doi.org/10.1364/qels.2012.qf1g.5.

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Lahav, Oren, Ofer Kfir, Pavel Sidorenko, Maor Mutzafi, Avner Fleischer, and Oren Cohen. "Three-Dimensional Spatiotemporal Pulse-Train Solitons." In CLEO: QELS_Fundamental Science. OSA, 2017. http://dx.doi.org/10.1364/cleo_qels.2017.fm3f.8.

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Mihalache, D. "Stable three-dimensional solitons in two-dimensional photonic lattices." In Congress on Optics and Optoelectronics, edited by Miroslaw A. Karpierz, Allan D. Boardman, and George I. Stegeman. SPIE, 2005. http://dx.doi.org/10.1117/12.621606.

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Rosanov, Nikolay N. "Three-dimensional dissipative optical solitons: laser bullets." In Laser Optics 2000, edited by Serguei A. Gurevich and Nikolay N. Rosanov. SPIE, 2001. http://dx.doi.org/10.1117/12.418815.

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Leblond, Hervé, Boris A. Malomed, and Dumitru Mihalache. "Three-dimensional spinning solitons in quasi-two-dimensional optical lattices." In SPIE Proceedings, edited by Valentin I. Vlad. SPIE, 2007. http://dx.doi.org/10.1117/12.757861.

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Efremidis, Nikolaos K., Yannis Kominis, Nikos Moshonnasa, et al. "Three-dimensional vortex solitons in self-defocusing media." In SPIE Proceedings, edited by Valentin I. Vlad. SPIE, 2007. http://dx.doi.org/10.1117/12.757879.

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Liu, Changfu, Yan Zhu, and Zhixin Zhang. "Three-dimensional spatiotemporal solitons in self-defocusing media." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756677.

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Sheppard, A. P., and M. Haelterman. "Nonparaxiality stabilizes three-dimensional soliton beams in Kerr media." In Nonlinear Guided Waves and Their Applications. Optica Publishing Group, 1998. http://dx.doi.org/10.1364/nlgw.1998.nwe.19.

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Three-dimensional (1+2D) spatial solitons have been well known since the early 1960's [1,2] as the unstable equilibrium state between self-focusing and diffraction. Theory have shown that below a certain critical power, the soliton beam diffracts away into radiation, while above this threshold, suffers catastrophic self-focusing [3,4]. However, although experiment corroborates this result, it should be noted that the 1+2D soliton instability is predicted from an incomplete mathematical model, namely, the nonlinear Schrödinger (NLS) equation that is based on the paraxial approximation. The 1+2D
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