Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions
Exactly Solvable and Integrable Systems
2015-06-22 v1 Pattern Formation and Solitons
Abstract
We consider (2+1) and (1+1) dimensional long-wave short-wave resonance interaction systems. We construct an extensive set of exact periodic solutions of these systems in terms of Lam\'e polynomials of order one and two. The periodic solutions are classified into three categories as similar, mixed, superposed elliptic solutions. We also discuss the hyperbolic solutions as limiting cases.
Cite
@article{arxiv.1409.1328,
title = {Elliptic Waves in Two Component Long Wave--Short Wave Resonance Interaction System in One and Two dimensions},
author = {Avinash Khare and T. Kanna and K. Tamilselvan},
journal= {arXiv preprint arXiv:1409.1328},
year = {2015}
}
Comments
Accepted for publication in Physics Letters A. 16 pages, 8 figures