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.
出处
《应用数学进展》
2020年第9期1479-1485,共7页
Advances in Applied Mathematics
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
Shallow Water Equation
Modified KdV Equation
Trial Equation Method
Hyperbolic Tangent Function Expansion Method
Jacobi Elliptic Function Expansion Method