A new combined soliton solution of the modified Korteweg-de Vries equation

被引：0

作者：

Wu, Jianping ^{[1
]}

机构：

[1] Zhengzhou Univ Aeronaut, Sch Sci, Zhengzhou 450046, Henan, Peoples R China

来源：

PRAMANA-JOURNAL OF PHYSICS | 2020年 / 94卷 / 01期

关键词：

Modified Korteweg-de Vries equation; combined soliton solution; soliton dynamics;

D O I：

10.1007/s12043-020-01958-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the Riemann-Hilbert problem of the modified Korteweg-de Vries (mKdV) equation is studied, from which a new combined soliton solution is obtained. In addition, to illustrate the dynamics of the new combined soliton solution, an algebra technique is developed to demonstrate the soliton interactions using Mathematica symbolic computations. The proposed method is effective in deriving and investigating new soliton solutions of the mKdV equation. The results also expand the understanding of the soliton structure of the mKdV equation.

引用

页数：9

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