双曲函数型辅助方程构造具5次强非线性项的波方程的新精确孤波解  

New exact solitary wave solutions for nonlinear wave equation with fifth-order strong nonlinear term constructed by hyperbolic function type of auxiliary equation

作　　者：套格图桑[1] 斯仁道尔吉[1] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022

出　　处：《物理学报》2006年第1期13-18,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10461006);内蒙古高等学校科学研究基金(批准号:NJ02035);内蒙古自然科学基金(批准号:2004080201103)资助的课题~~

摘　　要：在辅助方程法的基础上利用两种函数变换和一种双曲函数型辅助方程,通过符号计算系统Mathematica构造了在力学当中一个重要的模型,有5次强非线性项的波方程的新三角函数型和双曲函数型精确孤波解.这种方法寻找其他具5次强非线性项的非线性发展方程的新精确解方面具有普遍意义.Based on the method of auxiliary equation, the paper two auxiliary equations with function-transformation and one auxiliary equation of hyperbolic function type to construct an important model in mechanics, which has solutions of new trigonometric function type of wave equation with fifth-order strong nonlinear term and the exact solitary wave solutions of hyperbolic function type, obtained via the symbolic calculation system of Mathematica. The method has general meanings in searching for other new exact solutions to the nonlinear evolution equation with fifth-order strong nonlinear tenn.

关 键 词：双曲函数型辅助方程 函数变换 具5次强非线性项的波方程 精确孤波解 

分 类 号：O241.8[理学—计算数学]