A kind of explicit Riemann theta functions periodic waves solutions for discrete soliton equations

被引：67

作者：

Tian, Shou-fu ^{[1
]}

Zhang, Hong-qing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 01期

关键词：

Theta function solution; Periodic wave solution; Extended version of the discrete mKdV equation Deautonomization of the two-dimensional; Toda lattice equation; EVOLUTION-EQUATIONS; DECOMPOSITION;

D O I：

10.1016/j.cnsns.2010.04.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, Riemann theta functions are used to construct one-theta function and two-theta functions solutions to a class of Hirota bilinear equations, such as extended version of the discrete mKdV equation and deautonomization of the two-dimensional Toda lattice equation. To get the Riemann theta function periodic waves solutions (the quasi-periodic solutions), this method is direct and simple which use only the identities of the theta functions. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：173 / 186

页数：14

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