变系数强迫Burgers方程的多孤立波解及孤立波的相互作用

J4 ›› 2011, Vol. 28 ›› Issue (1): 31-36.

变系数强迫Burgers方程的多孤立波解及孤立波的相互作用

孙健那仁满都拉

内蒙古民族大学物理与电子信息学院，内蒙古通辽 028043

收稿日期:2010-04-27 修回日期:2010-05-30 出版日期:2011-01-28 发布日期:2011-01-14
通讯作者: 那仁满都拉 (1963-),内蒙古通辽人，博士，教授，主要从事非线性物理的研究和教学。 E-mail:nrmdltl@126.com
作者简介:孙健（1980- ），男，吉林长春人，内蒙古民族大学硕士研究生, 从事非线性物理的研究. E-mail:saerka_456@163.com
基金资助:
国家自然科学基金项目（10862003），内蒙古民族大学科研创新团队建设计划项目

Multiple solitary wave solutions of variable coefficient forced Burgers equation and interaction of solitary waves

SUN Jian, NA Ren-Man-Du-La

College of Physics and Electronic Information, Inner Mongolia University for Nationalities ,Tongliao 028043, China

Received:2010-04-27 Revised:2010-05-30 Published:2011-01-28 Online:2011-01-14

摘要/Abstract

摘要：

利用齐次平衡法研究变系数强迫Burgers方程，得到了该方程的多孤立波解。用图形分析方法对孤立波之间的相互作用进行分析，观察到了在非均匀介质中及强迫项作用下形成的特殊扭结孤立波相互作用而产生的合并与分裂等新现象。合并（分裂）之后的特殊扭结孤立波可以继续振荡传播，也可以不振荡也不传播，还可以在原位置振荡但不传播。

关键词: 非线性方程, 多孤立波解, 齐次平衡法, 变系数强迫Burgers方程, 相互作用

Abstract:

The multiple solitary wave solutions of a variable coefficient forced Burgers equation have been obtained by using homogeneous balance method. The graphic analysis method is used to analyze the interactions among the special kink solitary waves. Some new phenomena was observed, such as merger and split due to the interactions among kink solitary waves which are arisen under the forced effects in the inhomogeneous media. The results show that the merged (or split) special kink solitary waves can continue to oscillate and propagate, or neither oscillate nor propagate, or oscillate in the original position but not propagate.

Key words: nonlinear optics, multiple solitary wave solutions, homogeneous balance method, variable coefficient forced Burgers equation, interaction

中图分类号:

O175.2

孙健那仁满都拉. 变系数强迫Burgers方程的多孤立波解及孤立波的相互作用[J]. J4, 2011, 28(1): 31-36.

SUN Jian, NA Ren-Man-Du-La. Multiple solitary wave solutions of variable coefficient forced Burgers equation and interaction of solitary waves[J]. J4, 2011, 28(1): 31-36.

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