Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System
Exactly Solvable and Integrable Systems
2008-12-31 v1 Pattern Formation and Solitons
Abstract
An integrable two-component analogue of the two-dimensional long wave-short wave resonance interaction (2c-2d-LSRI) system is studied. Wronskian solutions of 2c-2d-LSRI system are presented. A reduced case, which describes resonant interaction between an interfacial wave and two surface wave packets in a two layer fluid, is also discussed.
Cite
@article{arxiv.0812.4591,
title = {Note on the 2-component Analogue of 2-dimensional Long Wave-Short Wave Resonance Interaction System},
author = {Ken-ichi Maruno and Yasuhiro Ohta and Masayuki Oikawa},
journal= {arXiv preprint arXiv:0812.4591},
year = {2008}
}
Comments
8 pages, 10 figures. To appear, Glasgow Mathematical Journal