This paper is concerned with traveling waves for the generalized Kadomtsev}Petviashvili equation (w y)31, t31, i.e. solutions of the form w(t, , y)"u( !ct, y). We study both, solutions periodic in x" !ct and solitary waves, which are decaying in x, and their interrelations. In particular, we prove
Existence of periodic traveling wave solutions for the Ostrovsky equation
โ Scribed by Naoyuki Ishimura; Tetsu Mizumachi
- Publisher
- John Wiley and Sons
- Year
- 2008
- Tongue
- English
- Weight
- 82 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.990
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
We are concerned with the Ostrovsky equation, which is derived from the theory of weakly nonlinear long surface and internal waves in shallow water under the presence of rotation. On the basis of the variational method, we show the existence of periodic traveling wave solutions. Copyright ยฉ 2008 John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
## Abstract We first construct traveling wave solutions for the Schrรถdinger map in โ^2^ of the form __m__(__x__~1~, __x__~2~ โ ฯต __t__), where __m__ has exactly two vortices at approximately $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}(\pm {{1}\over{2 \epsilon}}, 0) \in \R^2$ of degree ยฑ1. We
## Abstract The existence of travelling wave solutions for the heat equation โ~__t__~ __u__ โฮ__u__ = 0 in an infinite cylinder subject to the nonlinear Neumann boundary condition (โ__u__ /โ__n__) = __f__ (__u__) is investigated. We show existence of nontrivial solutions for a large class of nonlin
This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con