๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The periodic traveling-wave solutions of the short-pulse equation

โœ Scribed by Shaolong Xie; Xiaochun Hong; Bin Gao

Book ID
113439724
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
406 KB
Volume
218
Category
Article
ISSN
0096-3003

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Existence of periodic traveling wave sol
Existence of periodic traveling wave solutions for the Ostrovsky equation
โœ Naoyuki Ishimura; Tetsu Mizumachi ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 82 KB ๐Ÿ‘ 2 views

## 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. Copyrig

Periodic and solitary traveling wave sol
Periodic and solitary traveling wave solutions for the generalized Kadomtsevโ€“Petviashvili equation
โœ A. A. Pankov; K. Pflรผger ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 164 KB ๐Ÿ‘ 2 views

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

Traveling wave solutions of the Schrรถdin
Traveling wave solutions of the Schrรถdinger map equation
โœ Fanghua Lin; Juncheng Wei ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 286 KB ๐Ÿ‘ 1 views

## Abstract We first construct traveling wave solutions for the Schrรถdinger map in โ„^2^ of the form __m__(__x__~1~, __x__~2~ โˆ’ 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