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arXiv · 2010.14800

Solutions of the two-wave interactions in quadratic nonlinear media

Lazhar Bougoffa·Smail Bougouffa
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Abstract

In this paper, we propose a reliable treatment for studying the two-wave (symbiotic) solitons of interactions in nonlinear quadratic media. We investigate Schauder's fixed point theorem for proving the existence theorem. Additionally, the uniqueness solution for this system is proved. Also, a highly accurate approximate solution is presented via an iteration algorithm.

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Lazhar Bougoffa, Smail Bougouffa. 2020-10-28. Solutions of the two-wave interactions in quadratic nonlinear media. https://doi.org/10.3390/math8111867

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