scholarly journals Noncommutative Multisoliton Solutions of a Supersymmetric Chiral Model

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Xiujuan Zhu
Keyword(s):  
Soliton Solutions ◽  
Chiral Model ◽  
Property A ◽  
Dressing Method ◽  
Multisoliton Solutions

Multisoliton configurations of a superextended and Moyal-type noncommutative deformed modified2+1chiral model have been constructed with the dressing method by Lechtenfeld and Popov several years ago. These configurations have no-scattering property. A two-soliton configuration with nontrivial scattering was constructed soon after that. More multisoliton solutions with general pole data of the superextended and noncommutative Ward model will be constructed in this paper. The method is the supersymmetric and noncommutative extension of Dai and Terng’s in constructing soliton solutions of the Ward model.

scholarly journals Painlevé integrability and multisoliton solutions of a generalized KdV system

2020 ◽  
Vol 34 ◽  
pp. 03008
Author(s):  
Pinki Kumari ◽  
R.K. Gupta ◽  
Sachin Kumar
Keyword(s):  
Soliton Solutions ◽  
Painlevé Test ◽  
Bilinear Method ◽  
Multiple Soliton Solutions ◽  
Simplified Bilinear Method ◽  
P Type ◽  
Multisoliton Solutions

The integrability of a generalized KdV model, which has abundant physical applications in many fields, is investigated by employing Painlevé test. Eventually, we discover a new generalized P-type KdV model in sense of WTCKruskal method. Subsequently, Hereman’s simplified bilinear method is used to examine the integrability of the resulted model. As a result, multiple soliton solutions of newly discovered model are formally obtained.

scholarly journals Soliton Solutions for a Nonisospectral Semi-Discrete Ablowitz–Kaup–Newell–Segur Equation

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1889 ◽  
Author(s):  
Song-Lin Zhao
Keyword(s):  
Asymptotic Analysis ◽  
Vries Equation ◽  
Soliton Solutions ◽  
Hirota’S Method ◽  
De Vries ◽  
Hirota's Method ◽  
Multisoliton Solutions

In this paper, we study a nonisospectral semi-discrete Ablowitz–Kaup–Newell–Segur equation. Multisoliton solutions for this equation are given by Hirota’s method. Dynamics of some soliton solutions are analyzed and illustrated by asymptotic analysis. Multisoliton solutions and dynamics to a nonisospectral semi-discrete modified Korteweg-de Vries equation are also discussed.

SOLITON RESONANCES FOR THE MODIFIED KADOMTSEV–PETVIASHVILI EQUATIONS IN UNIFORM AND NON-UNIFORM MEDIA

2010 ◽  
Vol 24 (03) ◽  
pp. 277-288 ◽  
Author(s):  
HONG-HAI HAO ◽  
DA-JUN ZHANG
Keyword(s):  
Phase Shift ◽  
Soliton Solutions ◽  
Shift Parameter ◽  
Soliton Resonance ◽  
Petviashvili Equation ◽  
Multisoliton Solutions

The phenomena of soliton resonance can occur in (2+1)-dimensional modified Kadomtsev–Petviashvili equation (mKP). In this paper, we study the multisoliton solutions in Hirota's forms for isospectral and non-isospectral mKP. We take two-soliton solutions as examples to investigate soliton resonances occurring in uniform and non-uniform media according to different values of the phase shift parameter.

scholarly journals Method for Studying the Multisoliton Solutions of the Korteweg-de Vries Type Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-9
Author(s):  
Yuriy Turbal ◽  
Andriy Bomba ◽  
Mariana Turbal
Keyword(s):  
Soliton Solutions ◽  
Travelling Wave ◽  
Travelling Wave Solutions ◽  
New Approach ◽  
Wave Solutions ◽  
De Vries ◽  
Multisoliton Solutions

We present a new approach to find travelling wave solutions for the Korteweg-de Vries type equations, which allows extending the class of known soliton solutions. Also we propose method for studying the multisoliton solutions of the Korteweg-de Vries type equations.

Multisoliton solutions of a (2+1)-dimensional variable-coefficient Toda lattice equation via Hirota’s bilinear method

2014 ◽  
Vol 92 (3) ◽  
pp. 184-190 ◽  
Author(s):  
Sheng Zhang ◽  
Dong Liu
Keyword(s):  
Variable Coefficient ◽  
Toda Lattice ◽  
Soliton Solutions ◽  
Variable Coefficients ◽  
Hirota’S Bilinear Method ◽  
Lattice Equation ◽  
Bilinear Method ◽  
Dimensional Variable ◽  
Toda Lattice Equation ◽  
Multisoliton Solutions

In this paper, Hirota’s bilinear method is extended to construct multisoliton solutions of a (2+1)-dimensional variable-coefficient Toda lattice equation. As a result, new and more general one-soliton, two-soliton, and three-soliton solutions are obtained, from which the uniform formula of the N-soliton solution is derived. It is shown that Hirota’s bilinear method can be used for constructing multisoliton solutions of some other nonlinear differential-difference equations with variable coefficients.

Sign in / Sign up

Export Citation Format

Share Document