改进的双曲函数法获得(2+1)-维Toda晶格方程的精确解

摘要

基于符号计算系统,提出了一种求解微分-差分方程精确解的方法--改进的双曲函数法.选择(2+1)-维Toda晶体方程验证了算法的有效性,获得了丰富的新有理孤波解.该方法可用于获得其他的微分-差分方程方程的精确解.%Based on computer symbolic system, a modified hyperbolic function method is presented to search for exact solutions of differential-difference equations. The (2+1)-dimensional Toda lattice is chosen to illustrate the method. As a result, abundant new solitary solutions are obtained. The method can be applied to many other nonlinear differential-different equations (DDEs).