Hybrid-lattice系统的精确解  

Exact Solutions for the Hybrid-lattice System

作　　者：套格图桑[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：《工程数学学报》2008年第2期369-372,共4页Chinese Journal of Engineering Mathematics

基　　金：国家自然科学基金(10461006);内蒙古自治区高等学校科学研究项目(NJ02035);内蒙古自治区自然科学基金(200408020103);内蒙古师范大学自然科学研究基金(QN005023).

摘　　要：本文在试探函数法的基础上,给出由指数函数所组成的试探函数法,将其应用于非线性离散系统,借助符号计算系统Mathematica构造了Hybrid-Lattice系统的新的精确孤波解。该方法在构造mKdV差分微分方程、Ablowitz-Ladik-Lattice系统等其它的离散差分微分方程的精确解方面具有普遍意义。Based on the trial function method, a new trial function method combined with exponential functions is presented and applied to the nonlinear discrete system. New exact solutions to the discrete Hybrid-Lattice system are constructed with the help of symbolic computation system in Mathematica. It is useful for seeking exact solutions to other discrete difference-differential equations, such as the mKdV lattice equation, Ablowitz-Ladik-lattice system, and so on.

关 键 词：试探函数法 离散系统 Hybrid-lattice系统 精确孤波解 

分 类 号：O175.29[理学—数学]