摘要
将广义Riccati方程有理展开法应用于求解非线性差分-微分方程.并在符号计算机系统Maple的帮助下,以离散的非线性mKdV lattice方程和离散的非线性(2+1)维Toda lattice方程为例,得到了一些新的精确解,其中包括双曲函数解和三角函数解.
A rational expansion method for the generalized Riccati equation is presented to solve nonlinear difference-differential equation（s）. The discrete nonlinear mKdV equation and the discrete nonlinear （2＋1） dimensional Toda lattice equation are chosen as examples and a number of exact solutions of these equations are obtained including hyperbolic function solutions and trigonometric function solutions with the help of symbolic computation system Maple.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第2期143-148,共6页
Journal of Inner Mongolia University：Natural Science Edition
基金
内蒙古高等学校科学研究资助项目(NJzc08134)
