Solutions of the Two-Wave Interactions in Quadratic Nonlinear Media

Lazhar Bougoffa and Smail Bougouffa
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Lazhar Bougoffa: Department of Mathematics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia
Smail Bougouffa: Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), P.O. Box 90950, Riyadh 11623, Saudi Arabia

Mathematics, 2020, vol. 8, issue 11, 1-10

Abstract: In this paper, we propose a reliable treatment for studying the two-wave (symbiotic) solitons of interactions in nonlinear quadratic media. We investigate the 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.

Keywords: two-wave solitons; existence and uniqueness solutions; exact solution; approximate solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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