Homotopy Analysis Method for Ablowitz-Ladik Lattice

被引：0

作者：

Hon, Benny Y. C. ^{[2
]}

Fan, Engui ^{[3
]}

Wang, Qi ^{[1
]}

机构：

[1] Shanghai Univ Finance & Econ, Dept Appl Math, Shanghai 200433, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2011年 / 66卷 / 10-11期

关键词：

Homotopy Analysis Method (HAM); Ablowitz-Ladik Lattice System; BACKLUND-TRANSFORMATIONS; DIFFERENCE; TODA; FLOWS;

D O I：

10.5560/ZNA.2011-0022

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this paper, the homotopy analysis method is successfully applied to solve the systems of differential-difference equations. The Ablowitz-Ladik lattice system are chosen to illustrate the method. Comparisons between the results of the proposed method and exact solutions reveal that the homotopy analysis method is very effective and simple in solving systems of differential-difference equations.

引用

页码：599 / 605

页数：7

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