Evidence for the nonintegrability of a water wave equation in 2+1 dimensions

被引：0
|
作者：
Gordoa, PR
Pickering, A
Senthilvelan, M
机构：
[1] Univ Rey Juan Carlos, ESCET, Area Matemat Aplicada, Mostoles 28933, Madrid, Spain
[2] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain
[3] Bharathidasan Univ, Dept Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, Tamil Nadu, India
来源：
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2004年 / 59卷 / 10期
关键词：
nonintegrability; similarity reductions;
D O I：
暂无
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：
We provide evidence of the nonintegrability of a recently proposed model for water waves in 2 + 1 dimensions: we show that under a nonlinear time transformation, a certain reduction of this partial differential equation is mapped to an ordinary differential equation which does not have the Painleve property. This is in contrast to what happens in the case of the Camassa-Holm equation. Also, and again in contrast to the case of the Camassa-Holm equation, the equation under study fails to admit Dirichlet series solutions.
引用
收藏
页码：640 / 644
页数：5
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