Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations
Pattern Formation and Solitons
2016-04-20 v1 Exactly Solvable and Integrable Systems
Abstract
We obtain a class of elliptic wave solutions of coupled nonlinear Helmholtz (CNLH) equations describing nonparaxial ultra-broad beam propagation in nonlinear Kerr-like media, in terms of the Jacobi elliptic functions and also discuss their limiting forms (hyperbolic solutions). Especially, we show the existence of non-trivial solitary wave profiles in the CNLH system. The effect of nonparaxiality on the speed, pulse width and amplitude of the nonlinear waves is analysed in detail. Particularly a mechanism for tuning the speed by altering the nonparaxial parameter is proposed. We also identify a novel phase-unlocking behaviour due to the presence of nonparaxial parameter.
Keywords
Cite
@article{arxiv.1510.01462,
title = {Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations},
author = {K. Tamilselvan and T. Kanna and Avinash Khare},
journal= {arXiv preprint arXiv:1510.01462},
year = {2016}
}
Comments
19 pages, 7 figures