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.
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)
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
Microstructured solids
Dissipation-dispersion nonlinear wave equation
Solitary wave solution
Extended hyperbolic function method
