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改进的双曲函数法获得(2+1)-维Toda晶格方程的精确解(英文)
引用本文:朱连庆,赵文正.改进的双曲函数法获得(2+1)-维Toda晶格方程的精确解(英文)[J].科学技术与工程,2009,9(12).
作者姓名:朱连庆  赵文正
作者单位:山东信息职业技术学院,潍坊,261061
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.

关 键 词:(2  1)-维Toda晶格方程  双英函数法  差分方程

Modified Hyperbolic Function Method to Find Exact Solutions for Discrete (2+1)-dimensional Toda Lattice
ZHU Lian-qing,ZHAO Wen-zheng.Modified Hyperbolic Function Method to Find Exact Solutions for Discrete (2+1)-dimensional Toda Lattice[J].Science Technology and Engineering,2009,9(12).
Authors:ZHU Lian-qing  ZHAO Wen-zheng
Institution:Department of Computer Engineering;Shandong Vocational Institute of Information Technology;Weifang 261061;P.R.China
Abstract: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).
Keywords:the (2 1)-dimensional Toda lattice differential-difference equation hyperbolic function method
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