| 摘要: |
| 用行波变换将三阶KdV方程化为常微分方程,用Riccati方程映射法得出满足原方程的参数方程组,再结合Mathematica数学软件解该参数方程组,获得一类三阶KdV方程的精确孤立波解和周期波解. |
| 关键词: KdV方程 孤波解 周期波解 双曲函数正切法 |
| DOI： |
| 投稿时间：2009-12-11 |
| 基金项目:国家自然科学基金项目(10961011)资助。 |
|
| Exact Solutions to a Type of Third-order KdV Equation |
|
WEI Xue-min1, ZHU Xiao-jun2
|
| (1.School of Mathematics and Computational Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China;2.Guiyi Secondary School of Cenxi City in Guangxi, Cenxi, Guangxi, 543207, China) |
| Abstract: |
| First the third-order KdV equation is transformed into ordinary differential equation and then the parametric equations which satisfy the original equation are obtained by generalizing Riccati mapping method.The parametric equations were further solved by mathematical software Mathematica to obtain explicit solitary wave and periodic wave solutions. |
| Key words: KdV equation solitary wave solutions periodic wave solutions hyperbolic tanh-function method |
