含强非线性项的Davey-Stewartson方程组的显式精确解  

Explicit and Exact Solutions for the Davey-Stewartson Equation Set with Strong Nonlinear Term

作　　者：吴小红[1] 

机构地区：[1]浙江丽水学院物理系,浙江丽水323000

出　　处：《佳木斯大学学报（自然科学版）》2006年第4期573-575,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：浙江省自然科学基金(100039);丽水学院青年基金(QN04008)

摘　　要：对含强非线性项的Davey-Stewartson方程组进行了研究,首先将含强非线性项的Davey-Stewartson方程组约化成Lienard方程.通过求解Lienard方程,得到方程的精确解,包括钟型孤立子解、冲击波型孤立子解、周期波解和类孤立子解.In this paper, the Davey - Steqartson equation set with strong nonlinear term isstudied. The Davey -Stewartson equation set is reduced to Lienerd equation first, and then the explicit and exact solutions for these equations, which include exact isolated wave solutions, periodic solutions and exact isolated - type wave solutions, are obtained through solving the Lienard equation.

关 键 词：Davey—Stewartson方程组 孤立子解 周期波解 

分 类 号：O241.82[理学—计算数学]