变系数（2+1）维Burgers系统的精确解及特殊孤波结构

J4 ›› 2012, Vol. 29 ›› Issue (3): 286-291.

变系数（2+1）维Burgers系统的精确解及特殊孤波结构

韩元春额尔敦仓那仁满都拉

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:2011-04-19 修回日期:2011-05-14 出版日期:2012-05-28 发布日期:2012-05-22
通讯作者: 韩元春（1972-），内蒙古通辽人，副教授，主要从事非线性物理研究。 E-mail:han7371@163.com
基金资助:
国家自然科学基金（10862003）和内蒙古民族大学科研创新团队建设计划资助课题

Exact solutions and special solitary wave structures for variable coefficients (2+1)-dimensional Burgers system

HAN Yuan-chun，Erduncang，Naranmandula

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

Received:2011-04-19 Revised:2011-05-14 Published:2012-05-28 Online:2012-05-22

摘要/Abstract

摘要：

采用映射方法研究变系数（2+1）维Burgers系统，首次得到了该系统带有任意函数的一系列显式精确解。用图形分析方法对这变系数（2+1）维Burgers系统的部分孤波结构进行分析，揭示了该系统所具有的一种特殊孤波结构-平衡位置随时间变化的扭结孤立波。

关键词: 非线性物理, 精确解, 孤波结构, 映射方法, 变系数（2+1）维Burgers系统

Abstract:

A series of explicit exact solutions with arbitrary functions for variable coefficients (2+1)-dimensional Burgers system are obtained for the first time by using mapping method. Partial solitary wave structure of the variable coefficients (2+1)-dimensional Burgers system is analyzed by using graphic analysis method, and a kind of special solitary wave structure namely kink solitary wave which equilibrium position is varying with time is revealed.

Key words: nonlinear physics, exact solution, solitary wave structure, mapping method, variable coefficients (2+1)-dimensional Burgers system

中图分类号:

O175.2

韩元春额尔敦仓那仁满都拉. 变系数（2+1）维Burgers系统的精确解及特殊孤波结构[J]. J4, 2012, 29(3): 286-291.

HAN Yuan-chun，Erduncang，Naranmandula. Exact solutions and special solitary wave structures for variable coefficients (2+1)-dimensional Burgers system[J]. J4, 2012, 29(3): 286-291.

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