一类水波方程的精确解  

The Exact Solutions for a Class of Shallow Water Equation

作　　者：李涛 王艳红[1] 

机构地区：[1]河南理工大学数学与信息科学学院,河南 焦作

出　　处：《应用数学进展》2020年第9期1479-1485,共7页Advances in Applied Mathematics

摘　　要：本文研究了一类水波方程如浅水波方程及其推广形式、修正的KdV方程等,分别利用试探方程法、双曲正切函数展开法,以及Jacobi椭圆函数展开法构造并求得了他们的精确解。In this paper, a class of water wave equations such as shallow water equation and its extended form, as well as modified KdV equation are studied. The trial equation method, hyperbolic tangent function expansion method, and Jacobi elliptic function expansion method are used respectively to construct and obtain the exact solutions.

关 键 词：浅水波方程 修正KdV方程 试探方程法 双曲正切函数展开法 JACOBI椭圆函数展开法 

分 类 号：O17[理学—数学]