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.
出处
《工程数学学报》
CSCD
北大核心
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).
