求解非线性差分方程孤立波解的直接代数法  

A direct algebraic method to obtain solitary solutions of nonlinear differential-difference equations

作　　者：于亚璇[1] 王琪[1] 赵雪芹[1] 智红燕[1] 张鸿庆[1] 

机构地区：[1]大连理工大学应用数学系,大连116024

出　　处：《物理学报》2005年第9期3992-3994,共3页Acta Physica Sinica

基　　金：国家重点基础研究发展规划项目(批准号:2004CB318000)资助的课题.~~

摘　　要：推广了求解非线性差分方程孤立波解的直接代数法.用此方法研究了Hybrid晶格方程,借助于符号计算Maple,得到它的新孤波解.这种方法也可用于求解其他的差分方程.In this letter, we extend a direct method for constructing solitary solutions of nonlinear differential-difference equations. Hybrid lattice equations are chosen to illustrate this method. As a result, several solitary solutions are obtained with the help of Maple. This method can also be used in other nonlinear differential-difference equations.

关 键 词：微分-差分方程 Hybrid晶格方程 行波解 孤波解 非线性差分方程 直接代数法 孤立波解 求解 Hybrid MAPLE 符号计算 晶格 

分 类 号：O411.1[理学—理论物理]