Results 221 to 230 of about 554,383 (268)

Multi-Soliton Solutions of the Generalized Sawada–Kotera Equation

Zeitschrift für Naturforschung A, 2016
Abstract Korteweg–de Vries (KdV)-type equations can describe the nonlinear phenomena in shallow water waves, stratified internal waves, and ion-acoustic waves in plasmas. In this article, the two-dimensional generalization of the Sawada–Kotera equation, one of the KdV-type equations, is discussed by virtue of the Bell polynomials and ...
Da-Wei Zuo, Hui-Xia Mo, Hui-Ping Zhou
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Multi-soliton solutions of a two-component Camassa–Holm system: Darboux transformation approach

Communications in Theoretical Physics, 2020
We propose and develop another approach to constructing multi-soliton solutions of an integrable two-component Camassa–Holm (CH2) system. With the help of a reciprocal transformation and a gauge transformation, we relate the CH2 system to a negative flow
Gaihua Wang, Nianhua Li, Q. P. Liu
semanticscholar   +1 more source

Multi-Soliton Solutions of a Derivative Nonlinear Schrödinger Equation

Journal of the Physical Society of Japan, 1980
Using bilinear transform method, we confirm a result of Chen, Lee, and Liu that a derivative nonlinear Schrodinger equation i u t + u x x +2 i u * u u x =0 is integrable. Explicit formula of the N -soliton solution of a more general equation i u t +β u x x + i δ' u * u u x +δ u * u u =0, where β, δ' and δ are arbitrary real constants is presented.
Akira Nakamura, Hsing-Hen Chen
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Resonant multi-soliton solutions to the (2 + 1)-dimensional Sawada–Kotera equations via the simplified form of the linear superposition principle

Physica Scripta, 2019
In this work, a simplified form of the linear superposition principle is proposed to facilitate the computational work and make the resonant multi-soliton solutions easily generated. The (2 + 1)-dimensional Sawada–Kotera (SK) equation, one of fifth-order
Chun-Ku Kuo
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Exact multi-soliton solutions in nonlinear optical systems

Optics Communications, 2008
In this paper, we present the (1 + 1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation, which describes propagation of optical waves in nonlinear optical systems exhibiting spatial inhomogeneity, inhomogeneous nonlinearity and gain or loss at the same time.
Ruiyu Hao, Guosheng Zhou
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Resonant multi-soliton solutions to two fifth-order KdV equations via the simplified linear superposition principle

Modern physics letters B, 2019
In this paper, the simplified linear superposition principle is presented and employed to handle two versions of the fifth-order KdV equations, called the (2[Formula: see text]+[Formula: see text]1)-dimensional Caudrey–Dodd–Gibbon (CDG) equation and the (
Chun-Ku Kuo
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Multi-soliton solutions of a variable-coefficient KdV hierarchy

Nonlinear Dynamics, 2014
In this paper, Hirota’s bilinear method is extended to a new KdV hierarchy with variable coefficients. As a result, one-soliton solution, two-soliton solution and three-soliton solutions are obtained, from which the uniform formula of $$N$$
Sheng Zhang, Bin Cai
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Extended multi-soliton solutions of the Einstein field equations

Classical and Quantum Gravity, 1998
Summary: Extended soliton solutions of the Einstein field equations obtained within the framework of Sibgatullin's integral method are further analysed. The authors write the metric defining such solutions in a concise form suitable for concrete applications.
Manko, Vladimir S., Ruiz, Eduardo
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Multi-soliton solutions of a variable coefficient Schrödinger equation derived from vorticity equation

Nonlinear dynamics, 2023
Liyang Xu, Xiaojun Yin, Na Cao, Shuting Bai   +3 more
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Multi-soliton solutions for integrable ($$3+1$$)-dimensional modified seventh-order Ito and seventh-order Ito equations

Nonlinear dynamics, 2022
A. Wazwaz
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