N-Soliton Solution and Soliton Resonances for the （2＋1）-Dimensional Inhomogeneous Gardner Equation

N-Soliton Solution and Soliton Resonances for the （2＋1）-Dimensional Inhomogeneous Gardner Equation

We derive the Lax pair and Darboux transformation for the （2＋1）-dimensional inhomogeneous Gardner equation via the two-singular manifold method from Painleve analysis. N-soliton solution in a compact determinant representation of Grammian type is presented. As an application, dynamic properties of t...

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Veröffentlicht in:理论物理通讯：英文版 2017, Vol.67 (8), p.155-164
1. Verfasser: 王鑫 耿献国
Format: Artikel
Sprache:eng
Schlagworte:
Darboux变换
Painleve分析
共振
周期振荡
孤子解
方程
行列式表示
非齐次
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creator 王鑫 耿献国
description We derive the Lax pair and Darboux transformation for the （2＋1）-dimensional inhomogeneous Gardner equation via the two-singular manifold method from Painleve analysis. N-soliton solution in a compact determinant representation of Grammian type is presented. As an application, dynamic properties of the bright and dark soliton solutions under periodic and parabolic oscillations up to second order are shown. Resonant behaviors of two bright and two dark solitons are studied, and asymptotic analysis of the corresponding resonant bright and dark two-soliton solutions are performed, respectively.
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source IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection
subjects Darboux变换
Painleve分析
共振
周期振荡
孤子解
方程
行列式表示
非齐次
title N-Soliton Solution and Soliton Resonances for the （2＋1）-Dimensional Inhomogeneous Gardner Equation
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