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

作　　者：洪宝剑[1,2] 卢殿臣[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013 [2]南京工程学院基础部,江苏南京211167

出　　处：《数学的实践与认识》2012年第24期211-216,共6页Mathematics in Practice and Theory

基　　金：南京工程学院重点科研基金(QKJA2010011);国家自然科学基金(61070231)

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.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 

分 类 号：O241.8[理学—计算数学]