Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations

Autor:	Tamilselvan, K., Kanna, T., Khare, Avinash
Rok vydání:	2015
Předmět:	Nonlinear Sciences - Pattern Formation and Solitons Nonlinear Sciences - Exactly Solvable and Integrable Systems
Druh dokumentu:	Working Paper
DOI:	10.1016/j.cnsns.2016.02.040
Popis:	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. Comment: 19 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1510.01462 Zobrazit plný text záznamu View this record from Arxiv