Relevant bibliographies by topics / Nonlinear Solitons Schrödinger equation

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Nonlinear Solitons Schrödinger equation'

Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

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Journal articles on the topic "Nonlinear Solitons Schrödinger equation"

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E. Zayed, Elsayed M. "On solving the nonlinear Biswas-Milovic equation with dual-power law nonlinearity using the extended tanh-function method." JOURNAL OF ADVANCES IN PHYSICS 11, no. 2 (2015): 3001–12. http://dx.doi.org/10.24297/jap.v11i2.518.

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In this article, we apply the extended tanh-function method to …nd the exact traveling wave solutions of the nonlinear Biswas-Milovic equation (BME), which describes the prop-agation of solitons through optical …bers for trans-continental and trans-oceanic distances. This equation is a generalized version of the nonlinear Schrödinger equation with dual-power law nonlinearity. With the aid of computer algebraic system Maple, both constant and time-dependent coe¢ cients of BME are discussed. Comparison between our new results and the well-known results is given. The given method in this
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Stiller, Olaf, Stefan Popp, and Lorenz Kramer. "From dark solitons in the defocusing nonlinear Schro¨dinger to holes in the complex Ginzburg-Landau equation." Physica D: Nonlinear Phenomena 84, no. 3-4 (1995): 424–36. http://dx.doi.org/10.1016/0167-2789(95)00071-b.

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Kotlyarov, V. P., and E. Ya Khruslov. "Solitons of the nonlinear Schr�dinger equation generated by the continuum." Theoretical and Mathematical Physics 68, no. 2 (1986): 751–61. http://dx.doi.org/10.1007/bf01035537.

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Qian Cun, Wang Liang-Liang, and Zhang Jie-Fang. "Solitons of nonlinear Schrödinger equation withvariable-coefficients and interaction." Acta Physica Sinica 60, no. 6 (2011): 064214. http://dx.doi.org/10.7498/aps.60.064214.

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Fedele, R., H. Schamel, V. I. Karpman, and P. K. Shukla. "Envelope solitons of nonlinear Schr dinger equation with an anti-cubic nonlinearity." Journal of Physics A: Mathematical and General 36, no. 4 (2003): 1169–73. http://dx.doi.org/10.1088/0305-4470/36/4/322.

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Karpman, V. I. "Radiation of Solitons Described by a Higher-Order Nonlinear Schr?dinger Equation." Physica Scripta T82, no. 1 (1999): 44. http://dx.doi.org/10.1238/physica.topical.082a00044.

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Tchaho, Clovis Taki Djeumen, Hugues Martial Omanda, Gaston N’tchayi Mbourou, Jean Roger Bogning, and Timoléon Crépin Kofané. "Hybrid Dispersive Optical Solitons in Nonlinear Cubic-Quintic-Septic Schrödinger Equation." Optics and Photonics Journal 11, no. 02 (2021): 23–49. http://dx.doi.org/10.4236/opj.2021.112003.

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Erofeev, V. I., and A. V. Leontieva. "QUASIHARMONIC BENDING WAVE, DISTRIBUTING IN THE BALK OF TIMOSHENKO, LYING ON A NONLINEAR ELASTIC BASE." Problems of strenght and plasticity 83, no. 1 (2021): 61–75. http://dx.doi.org/10.32326/1814-9146-2021-83-1-61-75.

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In this paper, we consider the modulation instability of a quasiharmonic flexural wave propagating in a homogeneous beam fixed on a nonlinear elastic foundation. The dynamic behavior of the beam is determined by Timoshenko's theory. Timoshenko's model, refining the technical theory of rod bending, assumes that the crosssections remain flat, but not perpendicular to the deformable midline of the rod; normal stresses on sites parallel to the axis are zero; the inertial components associated with the rotation of the cross sections are taken into account. The uniqueness of the model lies in the fa
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Chen, Weikang. "Vortex Solitons for a Class of Schrödinger Equation with Square Root Nonlinear Term." Advances in Pure Mathematics 10, no. 04 (2020): 174–80. http://dx.doi.org/10.4236/apm.2020.104011.

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Chen, Yu, Iman Tavakkolnia, Alex Alvarado, and Majid Safari. "On the Capacity of Amplitude Modulated Soliton Communication over Long Haul Fibers." Entropy 22, no. 8 (2020): 899. http://dx.doi.org/10.3390/e22080899.

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The capacity limits of fiber-optic communication systems in the nonlinear regime are not yet well understood. In this paper, we study the capacity of amplitude modulated first-order soliton transmission, defined as the maximum of the so-called time-scaled mutual information. Such definition allows us to directly incorporate the dependence of soliton pulse width to its amplitude into capacity formulation. The commonly used memoryless channel model based on noncentral chi-squared distribution is initially considered. Applying a variance normalizing transform, this channel is approximated by a un
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Dissertations / Theses on the topic "Nonlinear Solitons Schrödinger equation"

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Moşincat, Răzvan Octavian. "Well-posedness of the one-dimensional derivative nonlinear Schrödinger equation." Thesis, University of Edinburgh, 2018. http://hdl.handle.net/1842/33244.

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This thesis is concerned with the well-posedness of the one-dimensional derivative non-linear Schrodinger equation (DNLS). In particular, we study the initial-value problem associated to DNLS with low-regularity initial data in two settings: (i) on the torus (namely with the periodic boundary condition) and (ii) on the real line. Our first main goal is to study the global-in-time behaviour of solutions to DNLS in the periodic setting, where global well-posedness is known to hold under a small mass assumption. In Chapter 2, we relax the smallness assumption on the mass and establish global well
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Conference papers on the topic "Nonlinear Solitons Schrödinger equation"

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Clamond, Didier, and John Grue. "Some Nonlinear Behaviour of Freak Waves and Envelope Solitons." In ASME 2002 21st International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/omae2002-28523.

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The nonlinear Schro¨dinger-like equations are widly used models for investigating the evolution of surface gravity waves with narrow-banded spectra. We numerically compare one of these simplified models with a fully nonlinear one. In particular, we study the long time evolution of wave groups. Although the simplified model predicts the right number of soliton formed, their behaviour and long time evolution is not well described. Solitons interact differently with the two models. During the interaction, freak waves are formed. Their occurence is more frequent with the fully nonlinear model. A m
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Manevitch, Leonid I., and Andrey I. Musienko. "Transversal Nonlinear Dynamics of Stretched Chain on Elastic Foundation." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84920.

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We present analytical and numerical study of short wavelength breathers in the system of asymmetric nonlinear oscillators coupled by stretched weightless beam. The study is focused on modulations of the nonlinear normal mode with shortest wavelength. A small parameter is introduced as ratio of distance between the particles in the chain and characteristic wavelength of modulation. It is shown that in main asymptotic approach the problem can be reduced to Nonlinear Schro¨dinger Equation (NSE). Breathers (envelope solitons) are localized oscillating solutions of this equation. We reveal the stab
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Shahzad, Asim, and M. Zafrullah. "Solitons Interaction and their Stability Based on Nonlinear Schrödinger Equation." In 2009 Second International Conference on Machine Vision. IEEE, 2009. http://dx.doi.org/10.1109/icmv.2009.38.

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Gorza, S. P., Ph Emplit, and M. Haelterman. "Modulational instability of bright solitons of the hyperbolic nonlinear Schrödinger equation." In 11th European Quantum Electronics Conference (CLEO/EQEC). IEEE, 2009. http://dx.doi.org/10.1109/cleoe-eqec.2009.5192281.

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Bandelow, Uwe, and Nail Akhmediev. "Solitons on a background, rogue waves, and classical soliton solutions of extended Nonlinear Schrödinger Equations." In 2013 Sixth "Rio De La Plata" Workshop on Laser Dynamics and Nonlinear Photonics. IEEE, 2013. http://dx.doi.org/10.1109/ldnp.2013.6777419.

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Zaslavsky, George M., and Vasily E. Tarasov. "Fractional Generalization of Ginzburg-Landau and Nonlinear Schroedinger Equations." In ASME 2005 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/detc2005-84266.

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The fractional generalization of the Ginzburg-Landau equation is derived from the variational Euler-Lagrange equation for fractal media. To describe fractal media we use the fractional integrals considered as approximations of integrals on fractals. Some different forms of the fractional Ginzburg-Landau equation or nonlinear Schro¨dinger equation with fractional derivatives are presented. The Agrawal variational principle and its generalization have been applied.
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Kawahara, Junya, Tetsuya Kanagawa, Takeru Yano, Kazumichi Kobayashi, Masao Watanabe, and Shigeo Fujikawa. "Ultrasound Beam Radiated From Circular Piston in Bubbly Liquids: Nonlinear Analysis for Envelope of Short Waves With Diffraction Effect." In ASME-JSME-KSME 2011 Joint Fluids Engineering Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/ajk2011-33019.

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A weakly diffracted ultrasound beam radiated from a circular piston placed in a bubbly liquid is formulated in terms of a wave equation based on scaling relations of physical parameters [1]: typical propagation speed, period, wavelength, and diameter of beam. We derive a nonlinear evolution equation for the modulation of quasi-monochromatic waves for the case of a short wavelength with a moderately high frequency from a set of basic equations for bubbly flows: conservation equations of mass and momentum for gas and liquid in a two-fluid model, Keller’s equation for bubble wall motion, state eq
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Jingru Qu. "Lax pair and soliton solutions for the generalized nonlinear Schrödinger equation in inhomogeneous optical fiber media." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002420.

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Krogstad, Harald E., Jingdong Liu, Herve´ Socquet-Juglard, Kristian B. Dysthe, and Karsten Trulsen. "Spatial Extreme Value Analysis of Nonlinear Simulations of Random Surface Waves." In ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51336.

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The paper first recalls the Slepian Model Representation and a theorem of V. I. Piterbarg as generic tools for analyzing the spatial characteristic of ocean waves. We then consider numerical simulations of random surface gravity waves carried out in space and time by means of the modified nonlinear Schro¨dinger equation. It is shown that the extreme waves in the simulations are steeper and more asymmetric than predicted by the Gaussian theory. Moreover, the reconstructed wave fields shows extreme crest heights well in excess of what is expected from the Gaussian theory.
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Hu, Hanhong, and Ning Ma. "Numerical Simulation on Nonlinear Evolution of Rogue Waves on Currents Based on the NLS Equation." In ASME 2011 30th International Conference on Ocean, Offshore and Arctic Engineering. ASMEDC, 2011. http://dx.doi.org/10.1115/omae2011-50079.

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In this paper, nonlinear instability and evolution of deep-water rogue waves on following and opposing currents were described by numerical simulation for laboratory investigation. The generation of rogue waves in a numerical tank by means of wave focusing technique had been studied. Here a spatial domain model of current modified nonlinear Schro¨dinger (NLSC) equations in one horizontal dimension (1D) was established for describing the deep-water wave trains in a prescribed stationary current field. The transient water waves (TWW) was adopted as the initial condition of the NLSC equation. The
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