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.
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.
出处
《广西科学院学报》
2010年第2期103-106,共4页
Journal of Guangxi Academy of Sciences
基金
国家自然科学基金项目(10961011)资助
关键词
KDV方程
孤波解
周期波解
双曲函数正切法
KdV equation
solitary wave solutions
periodic wave solutions
hyperbolic tanh-function method
