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arXiv · 2201.00924

Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides

Houria Triki·Vladimir I. Kruglov
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Abstract

We present a wide class of novel solitary and periodic waves in a non-centrosymmetric waveguide exhibiting second- and third-order nonlinearities. We show the existence of bright, gray, and W-shaped solitary waves as well as periodic waves for extended nonlinear Schr\"{o}dinger equation with quadratic and cubic nonlinearities. We also obtained the exact analytical algebraic-type solitary waves of the governing equation, including bright and W-shaped waves. The results illustrate the propagation of potentially rich set of nonlinear structures through the optical waveguiding media. Such privileged waveforms characteristically exist due to a balance among diffraction, quadratic and cubic nonlinearities.

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Houria Triki, Vladimir I. Kruglov. 2022-01-04. Novel solitary and periodic waves in quadratic-cubic non-centrosymmetric waveguides. https://doi.org/10.1016/j.physleta.2022.128315

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