Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind

被引：17

作者：

Rui, Weiguo ^{[1
]}

机构：

[1] Honghe Univ, Coll Math, Ctr Nonlinear Sci Res, Menzi 661100, Yunnan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Two-component short pulse equation; Integral bifurcation method; Two-loop soliton; Periodic two-loop wave; Periodic loop-compacton wave; Two-loop soliton with kerf of figure eight; ULTRA-SHORT PULSES; NONLINEAR MEDIA; WAVE SOLUTIONS; PROPAGATION;

D O I：

10.1016/j.cnsns.2013.01.020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the integral bifurcation method and the Sakovich's transformations, we study the two-component short pulse equations of the first kind, different kinds of exact traveling wave solutions with two-loop character, such as two-loop soliton solutions, periodic loop-compacton wave solutions and different kinds of periodic two-loop wave solutions are obtained. Further, we discuss their dynamical behaviors of these exact traveling wave solutions and show their profiles of time evolution by illustrations. This is first time in our research area that we obtain two-soliton solutions of nonlinear partial differential equations under no help of Hirota's method, inverse scattering method, Darboux transformation and Bachlund transformation. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：2667 / 2678

页数：12

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