期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 39, 期 -, 页码 134-148出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2016.02.040
关键词
Coupled nonlinear Helmholtz system; Jacobi elliptic function; Lame polynomials; Solitary waves
类别
资金
- Indian National Science Academy (INSA)
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 speed, pulse width and amplitude of the nonlinear waves is analyzed in detail. Particularly, a mechanism for tuning the speed by altering the nonparaxial parameter is proposed. We also identify a novel phase-unlocking behavior due to the presence of nonparaxial parameter. (C) 2016 Elsevier B.V. All rights reserved.
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