Results 211 to 220 of about 7,793,680 (284)

Hypergeometric Solutions of Soliton Equations

Theoretical and Mathematical Physics, 2001
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Orlov, A. Yu., Scherbin, D. M.
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Three dimensional solitonic solutions

Nuclear Physics B - Proceedings Supplements, 1997
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Förste, S., Kehagias, A.
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Exact soliton solutions for the core of dispersion-managed solitons

Physical Review E, 2003
We consider the averaged dispersion-managed (DM) fiber system equation, which governs the dynamics of the core of the DM solitons. For a special case of such a system equation, we derive the exact soliton solutions using the Darboux transformation. Further, we discuss the interaction scenario between two neighboring solitons.
Xu, Z, Li, L, Li, Z, Zhou, G, Nakkeeran, K   +4 more
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The soliton solutions and combined solutions of a high-dimensional wave soliton equation

Physica Scripta, 2022
Abstract In this paper, a high-dimensional wave soliton equation is considered and the simple Hirota method and bilinear backlund transformation are applied to construct the new soliton solutions, lump soliton solutions, breather solutions and their combined solutions.
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From rogue wave solution to solitons

Physical Review E, 2023
Using a generalized nonlinear Schrödinger equation, we investigate the transformation of a fundamental rogue wave solution to a collection of solitons. Taking the third-order dispersion, self-steepening, and Raman-induced self-frequency shift as the generalizing effects, we systematically observe how a fundamental rogue wave has an impact on its ...
Amdad Chowdury, Wonkeun Chang, Marco Battiato   +2 more
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Simple soliton solutions

American Journal of Physics, 1979
Solutions to linear wave equations can always be expressed as a superposition of special solutions called plane waves. Some solutions to an important class of nonlinear wave equations can be thought of as a superposition of special solutions called solitons. In this paper, we present a simple method for generating these special soliton solutions.
P. J. Hansen, D. R. Nicholson
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DUALISM IN THE SOLITON SOLUTION THEORY

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
The article is dedicated to dualism of the soliton solution theories and solutions of functional differential point form equations. The basics of the formalism of such dualism are presented with the central element being the idea of soliton bunch and the
L. Beklaryan, A. Beklaryan
semanticscholar   +1 more source

Data-driven femtosecond optical soliton excitations and parameters discovery of the high-order NLSE using the PINN

Nonlinear dynamics, 2021
We use the physics-informed neural network to solve a variety of femtosecond optical soliton solutions of the high-order nonlinear Schrödinger equation, including one-soliton solution, two-soliton solution, rogue wave solution, W-soliton solution and M ...
Yingxing Fang, Gang Wu, Yue‐Yue Wang, C. Dai   +3 more
semanticscholar   +1 more source

Dualism in the Theory of Soliton Solutions

Computational Mathematics and Mathematical Physics
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Beklaryan, L. A., Beklaryan, A. L.
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Is the “drunken sinusoid” a soliton solution?

Reports on Mathematical Physics, 1999
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