THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV-SINE-GORDON EQUATION

SONG-LIN ZHAO; HONG-HAI HAO; DA-JUN ZHANG

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THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV-SINE-GORDON EQUATION

机译：非等光谱mKdV-Sine-Gordon方程的多孤子解

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摘要

We derive multi-soliton solutions for a non-isospectral mKdV-sine-Gordon equation by means of a bilinear approach. Solutions are given in both Hirota's form and Wronskian form. This non-isospectral equation is a generic one which related to a time-dependent spectral parameter with time evolution λ_t = μ2λ+ v_2/4λ +μ3/2 (2λ)~3.

机译：我们通过双线性方法导出了一个非等光谱mKdV-sine-Gordon方程的多孤子解。解决方案以Hirota形式和Wronskian形式给出。这个非等光谱方程是一个泛型方程，它与随时间变化的光谱参数有关，随时间变化λ_t=μ2λ+ v_2 /4λ+μ3/ 2（2λ）〜3。

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《Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics》 |2009年第4期|共15页
作者
SONG-LIN ZHAO; HONG-HAI HAO; DA-JUN ZHANG;
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正文语种 eng
中图分类 530GL055;
关键词
Non-isospectral mKdV-sine-Gordon equation; Hirota's method; Wronskian technique; multi-soliton solutions;

机译：非等谱mKdV-sine-Gordon方程;Hirota方法;Wronskian技术;多孤子解;

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1. THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV-SINE-GORDON EQUATION [J] . SONG-LIN ZHAO, HONG-HAI HAO, DA-JUN ZHANG Modern Physics Letters, B. Condensed Matter Physics, Statistical Physics, Applied Physics . 2009,第4期

机译：非等光谱mKdV-Sine-Gordon方程的多孤子解
2. Multi-soliton solution, rational solution of the Boussinesq-Burgers equations [J] . A.S. Abdel Rady, E.S. Osman, Mohammed Khalfallah Communications in Nonlinear Science and Numerical Simulation . 2010,第5期

机译：Boussinesq-Burgers方程的多孤子解，有理解
3. New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations [J] . 张解放, 郭冠平, 吴锋民中国物理：英文版 . 2002,第006期

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4. Triple Wronskian representation of the multi-soliton solutions for a coupled GMNLS equations [C] . Lei Wang International Conference on Energy, Environment and Sustainable Development . 2014

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THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV-SINE-GORDON EQUATION

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