On the periodic solutions for both nonlinear differential and difference equations: A unified approach

被引：19
|
作者：
Fan, Engui [1 ,2 ]
Chow, Kwok Wing [3 ]
机构：
[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[3] Univ Hong Kong, Dept Mech Engn, Pokfulam, Hong Kong, Peoples R China
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 35期
基金：
美国国家科学基金会;
关键词：
Differential and difference equation; Hirota's bilinear method; Riemann theta function; Periodic wave solution; Soliton solution; N-SOLITON-SOLUTIONS; WAVE SOLUTIONS; EVOLUTION-EQUATIONS; KDV EQUATION;
D O I：
10.1016/j.physleta.2010.07.005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A direct and unifying scheme for disclosure of periodic wave solutions of both nonlinear differential and difference equations is presented. The scheme is based on Hirota's bilinear form and certain Riemann theta function formulae. The relations between the periodic wave solutions and soliton solutions are rigorously established. (C) 2010 Elsevier B.V. All rights reserved.
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页码：3629 / 3634
页数：6
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