Results 211 to 220 of about 902,254 (275)

Soliton molecules and some novel interaction solutions to the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation

Physica Scripta, 2020
Soliton molecules may exists in both experimental and theotetical aspects. In this work, we investigate the (2+1)-dimensional B-type Kadomtsev–Petviashvili equation, which can be used to describe weakly dispersive waves propagating in the quasi media and
Xiangyu Yang, Rong Fan, Biao Li
semanticscholar   +1 more source

N-Soliton Solutions for Nonlocal Lattice Equations

Journal of the Physical Society of Japan, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Soliton molecules and mixed solutions of the (2+1)-dimensional bidirectional Sawada–Kotera equation

Communications in Theoretical Physics, 2020
In this paper, we investigate some new interesting solution structures of the (2+1)-dimensional bidirectional Sawada–Kotera (bSK) equation. We obtain soliton molecules by introducing velocity resonance.
Jiao-Jiao Dong, Biao Li, Manwai Yuen
semanticscholar   +1 more source

N-Soliton Solution of Isotropic Heisenberg Equation

Journal of the Physical Society of Japan, 1984
Using the Wadati Transformation which connects inverse scattering schemes of isotropic Heisenberg equation and a new integrable nonlinear evolution equation, N -soliton solution of isotropic Heisenberg equation is obtained. The relation between soliton solutions of both equations is also clarified.
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N-soliton solutions and double Wronskian solution of the non-isospectral AKNS equation

Chaos, Solitons & Fractals, 2005
The authors present the \(N\)-soliton solutions and the double Wronskian solution of the non-isospectral AKNS equation through the Hirota method and the Wronskian technique, respectively. Further, the non-isospectral Schrödinger equation and its multi-solutions are obtained by reduction.
Sun, Yepeng, Bi, Jinbo, Chen, Dengyuan
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New N-soliton solutions for the sawada-kotera equation

Journal of Shanghai University (English Edition), 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Analysis and Soliton Interactions of the Multi-Pole Solutions in the Hirota Equation

, 2020
Based on the Darboux transformation and N-soliton solutions, we obtain the explicit formulas of arbitrary-order multi-pole (MP) solutions of the Hirota equation via some limit technique.
Min Li, Xuefeng Zhang, Tao Xu, Lingling Li   +3 more
semanticscholar   +1 more source

N-soliton solutions for the sine-Hilbert equation

Physics Letters A, 1986
Abstract An exact method for constructing soliton solutions of the sine-Hilbert (sH) equation is developed. It is shown that the sH equation can be transformed into a system of nonlinear ordinary differential equations. By linearizing this system of equations, explicit multi-soliton solutions of the sH equation are presented.
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Difference equations for N-solitons solutions to KdV

Physics Letters A, 1988
Abstract Using a newly-developed method, it is shown that the N -soliton solutions to the Korteweg-de Vries equation satisfy high-order difference equations in the spectral parameter. These equations are exhibited explicitly.
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A possible N soliton solution for a nonlinear optics equation

Journal of Physics A: General Physics, 1972
The authors suggest a possible N soliton solution for an equation of nonlinear optics (and hence, by a transformation, for the sine-Gordon equation).
J D Gibbon, J C Eilbeck
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