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Mathematics
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Mathematics
Article
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Mathematics
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https://dx.doi.org/10.48550/ar...
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Solutions of the Two-Wave Interactions in Quadratic Nonlinear Media

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 26 Oct 2020Embargo end date: 01 Oct 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 1,867 (eissn: 2227-7390, Copyright policy )
Authors: Lazhar Bougoffa; Smail Bougouffa;

doi: 10.3390/math8111867 , 10.48550/arxiv.2010.14800

arXiv: 2010.14800

Solutions of the Two-Wave Interactions in Quadratic Nonlinear Media

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.

Related Organizations
Keywords

exact solution, FOS: Physical sciences, existence and uniqueness solutions, Mathematical Physics (math-ph), Mathematics - Analysis of PDEs, two-wave solitons, QA1-939, FOS: Mathematics, approximate solution, Mathematics, Mathematical Physics, Analysis of PDEs (math.AP)

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
Green
gold