Homogenous Balance Method and Exact Analytical Solutions for Whitham-Broer-Kaup Equations in Shallow Water

被引：0
|
作者：
XIA Zhi(Department of Mathematics
机构：
来源：
数学季刊 | 2004年 / 03期
关键词：
improved homogenous balance method; Backlund transformation; solitary wave solution; multiple solution; exact analytical solution; rational solution;
D O I：
暂无
中图分类号：
O175.29 [非线性偏微分方程];
学科分类号：
070104 ;
摘要：
Based on the homogenous balance method and with the help of mathematica, the Backlund transformation and the transfer heat equation are derived. Analyzing the heat-transfer equation, the multiple soliton solutions and other exact analytical solution for Whitham-Broer-Kaup equations(WBK) are derived. These solutions contain Fan’s, Xie’s and Yan’s results and other new types of analytical solutions, such as rational function solutions and periodic solutions. The method can also be applied to solve more nonlinear differential equations.
引用
收藏
页码：240 / 246
页数：7
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