Solitary Wave and Periodic Wave Solutions for the Relativistic Toda Lattices
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.
作 者： Ma Zheng-Yi ZHU Jia-min ZHENG Chun-Long 作者单位： Ma Zheng-Yi,ZHENG Chun-Long(Department of Mathematics and Physics, Lishui University, Lishui 323000, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)ZHU Jia-min(Department of Mathematics and Physics, Lishui University, Lishui 323000, China)
刊 名： 理论物理通讯（英文版） ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS 年，卷(期)： 2005 43(1) 分类号： 关键词： tanh-method solitary wave and periodic wave solutions differential-difference equation Toda lattice