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arXiv · 1510.01462

Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations

K. Tamilselvan·T. Kanna·Avinash Khare
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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.

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K. Tamilselvan, T. Kanna, Avinash Khare. 2015-10-06. Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations. https://doi.org/10.1016/j.cnsns.2016.02.040

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