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带强迫项变系数组合kdv方程新的类Jacobi椭圆函数解
New Jacobi-Like Elliptic Functions Solutions to The Variable Coefficient Combined kdv Equation with Forced Term
【摘要】 通过推广的Jacobi椭圆函数展开法,借助Mathematica软件,求出了带强迫项变系数组合kdv方程一系列新的精确解,部分解在极限情况下退化为类孤立波解和类三角函数解,丰富、简化和发展了已有的结果.
【Abstract】 Some new exact solutions of the variable coefficient combined kdv equation with forced term were obtained by using the extended Jacobi elliptic functions expansion method with the aid of methematica software,some of which were degenerated to the solitary-like wave solutions and the trianglar-like function solutions in the limit cases,thus replenished, simplified and developed the known results by using this method.
【关键词】 变系数组合kdv方程;
强迫项;
类Jacobi椭圆函数解;
精确解;
【Key words】 variable coefficient combined kdv equation; forced term,Jacobi-like elliptic functions solutions; exact solutions;
【Key words】 variable coefficient combined kdv equation; forced term,Jacobi-like elliptic functions solutions; exact solutions;
【基金】 南京工程学院重点科研基金(QKJA2010011);国家自然科学基金(61070231)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2012年24期
- 【分类号】O241.8
- 【被引频次】1
- 【下载频次】68