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.
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页码：4452 / 4460
页数：9
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