| 摘要: |
| 应用Fan子方程法和符号计算软件Maple得到变形浅水波方程组新的精确解:三角函数精确解、双曲函数精确解、有理函数精确解、双周期Jacobi椭圆函数精确解和双周期Weierstrass椭圆函数精确解. |
| 关键词: 变形浅水波方程组 精确解 三角函数解 Jacobi椭圆函数解 Fan子方程法 |
| DOI： |
| 投稿时间：2010-10-29 |
| 基金项目:国家自然科学基金项目(11061010);中南大学博士后科学基金项目资助 |
|
| New Exact Solutions for the Variant Shallow Water Wave Equations |
|
WANG Yan-qing, FENG Da-he
|
| (School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The Fan sub-equation method and symbolic computational software-Maple are used to study the variant shallow water wave equations.Some new exact solutions for the variant shallow water wave equations are obtained such as triangular function solutions,hyperbolic functions,rational function solutions,Jacobi elliptic function solutions with double periodic and Weieratrass elliptic function solutions with double periodic. |
| Key words: variant shallow water wave equations exact solution triangular function solutions Jacobi elliptic function solutions with double period Fan sub-equation method |
