(2+1)-维Toda-like晶格方程的对称变换和精确解

Symmetry Transformation and Explicit Solution of a (2+1)-dimensional Toda-like Lattice

基于符号计算软件Maple,利用楼直接方法研究了一个(2+1)-维Toda-like晶格方程的对称变换。基于求得的对称变换,得到了这个微分差分方程一个新的类孤子解。该方法对于求解微分差分方程十分有效,并可以获得丰富的精确解。

With the aid of Maple,we obtain the symmetry transformation of a（ 2 ＋ 1）-dimensional Toda-like lattice based on the Lou＇s direct method. Moreover,a new soliton-like solution of the differential-difference equation is presented based on the symmetry transformation we got. The method is quite effective to differential-difference equations,and can get more explicit solutions.