华东师范大学学报(自然科学版) ›› 2003, Vol. 2003 ›› Issue (2): 11-15.

• 论文 • 上一篇    下一篇

一类非线性三波耦合方程组的精确解

贺秀霞；聂小兵   

  1. 华东师范大学 数学系，上海 200062
  • 收稿日期:2001-04-15 修回日期:2001-12-16 出版日期:2003-04-15 发布日期:2003-04-15

Exact Solutions of Three-wave Coupled Nonlinar Partial Differential Equations in Physics

HE Xiu-xia; NIE Xiao-bing   

  1. Department of Mathematics, East China Normal University, Shanghai 200062,China
  • Received:2001-04-15 Revised:2001-12-16 Online:2003-04-15 Published:2003-04-15

摘要： 用齐次平衡法球除了由从横波在弹性介质中传播引出的一个非线性耦合方程组的精确解，并分析了其孤波解的实际物理意义。

关键词: 非线性耦合方程组, 齐次平衡法, 精确解, 色散关系, 非线性耦合方程组, 齐次平衡法, 精确解, 色散关系

Abstract: The exact solutions of three-wave coupled nonlinar partial differential equations in a true physical problem are given by using the homogeneous balance method.

Key words: homogeneous balance method, exact solutions, dispersion relation, coupled nonlinar equations, homogeneous balance method, exact solutions, dispersion relation