微结构固体中一类耗散—频散非线性波动方程的精确解  

Exact Solutions of a Class of Dissipation-dispersion Nonlinear Wave Equation in Microstructured Solids

作　　者：双山[1] 那仁满都拉[1] 

机构地区：[1]内蒙古民族大学物理与电子信息学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2010年第5期481-486,共6页Journal of Inner Mongolia Minzu University：Natural Sciences

基　　金：国家自然科学基金资助项目(10862003)

摘　　要：描述微结构固体介质中非线性波传播的控制方程是一类耗散—频散非线性波动方程.本文利用推广的双曲函数展开法求解了此方程,在一定条件下,得到了对称、非对称、反非对称钟型孤立波和对称、非对称、反非对称扭结孤立波解.Nonlinear wave propagation in microstructured solids was described by model equation-a class of dissipation-dispersion nonlinear wave equation.In the present paper,the nonlinear wave equation is solved analytically by using extended hyperbolic function method.As a result,under certain condition,a series of new solitary wave solutions are obtained which include symmetrya,symmetry and anti-asymmetry bell solitary wave solutions,symmetry asymmetry and anti-asymmetry kink solitary wave solutions.

关 键 词：微结构固体 耗散—频散非线性波动方程 孤立波解 推广双曲函数法 

分 类 号：O411.1[理学—理论物理]