本文根据吴文俊院士提出的数学机械化的思想,在导师张鸿庆教授"AC=BD"理论的指导下,以构造性的变换和符号计算为工具,研究在弹性力......

基于多线性分离变量法所得(2+1)维Maccari非线性系统的精确解,在分离变量函数中引入雅克比椭圆函数,获得两类双周期传播波模式. 椭......

The cubic nonlinear Schrodinger (NLS for short) equation with a generalized external heating source is derived for large......

Exact periodic-wave solutions to the generalized Nizhnik-Novikov-Veselov (NNV) equation are obtained by using the extend......

应用雅克比椭圆函数展开法求解了广义混和KdV-mKdV方程，并引入一个转化用以简化求解过程，许多解可以由此而得到．若取定一定的参数，则可......

The new solutions to elliptic equation are shown, and then the elliptic equation is taken as a transformationand is appl......

A simple shallow-water model with influence of diabatic heating on aβ-plane is applied to investigate the nonlinear equ......

An extended hyperbola function method is proposed to construct exact solitary wave solutions to nonlinear wave equation ......

传统的槽波导(Low index slot waveguide,LISW)能有效地将大部分的光限制在亚波长量级的低折射率中间层,这是由于横向电场分量在中......

高维非线性系统的非线性激发模式、复杂非线性波的研究是当前非线性孤子理论、波动理论和非线性动力学研究的重要课题。自然界中存......