Almost periodic solutions of a (2+1)-dimensional Schwarzian Korteweg de Vries equation

被引：1

作者：

Luo, Mingxing ^{[1
]}

Li, Limei ^{[2
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Informat Engn, Beijing 100876, Peoples R China

[2] Sichuan Univ, Coll Math, Chengdu 610064, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 12期

关键词：

Almost periodic function; Elliptic function; Schwarzian Korteweg de Vries equation;

D O I：

10.1016/j.na.2007.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the evolution of the (2 + 1)-dimensional Schwarzian Korteweg de Vries equation {8 pi(2)pi(iota) + 2 pi(2)pi(zeta zeta eta) - 8 pi pi(zeta)pi(zeta eta) - 2 pi pi(zeta zeta)pi(eta) + 4 pi(2)(zeta)pi(eta) - pi pi(zeta)(pi) over bar (eta) = 0, pi(2)(pi) over tilde (zeta) = pi(2)(zeta), with pi not equal 0 with C, while the independent variable iota ("time") is complex. We prove that there exist many almost periodic solutions. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：4452 / 4460

页数：9

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