摘要
In this work, an adaptation of the tanh/tan-method that is discussed usually in the nonlinear partial differential equations is presented to solve nonlinear polynomial differential-difference equations. As a concrete example,several solitary wave and periodic wave solutions for the chain which is related to the relativistic Toda lattice are derived.Some systems of the differential-difference equations that can be solved using our approach are listed and a discussion is given in conclusion.
In this work, an adaptation of the tanh/tan-method that is discussed usually in the nonlinear partial differential equations is presented to solve nonlinear polynomial differential-difference equations. As a concrete example. several solitary wave and periodic wave solutions for the chain which is related to the relativistic Toda lattice are derived. Some systems of the differential-difference equations that can be solved using our-approach are listed and a discussion is given in conclusion.
基金
国家自然科学基金，浙江省重点学科基金
关键词
双曲正切法
孤波
周期解
微分-差分方程
Toda点阵
tanh-method
solitary wave and periodic wave solutions
differential-difference equation
Toda lattice
