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Erschienen in: Optical and Quantum Electronics 1/2021

01.01.2021

Elliptic function solutions, modulation instability and optical solitons analysis of the paraxial wave dynamical model with Kerr media

verfasst von: Muhammad Arshad, Aly R. Seadawy, Dianchen Lu, Muhammad Shoaib Saleem

Erschienen in: Optical and Quantum Electronics | Ausgabe 1/2021

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Abstract

The optical solitary waves explain non-dispersive and non-diffractive spatiotemporal localized waves envelopes promulgating in the media of optical Kerr. These propagations are generally described by the nonlinear Schrö dinger equation. The modified extended mapping technique is utilized to assemble the solitons, solitary waves and rational solutions of time-dependent dimensionless paraxial wave equation. The obtained different sorts of wave solutions encompass key applications in physics and engineering. By giving appropriate values to parameter, special sorts of solitary waves configuration can be displayed graphically. The physical interpretation of the solution can be understood through the structure. The stability of this wave equation is investigated via using modulational instability analysis which authenticates that all soliton solutions are stable and exact. Several analytical results and working out have confirmed the strength and efficacy of the current technique.

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Metadaten
Titel
Elliptic function solutions, modulation instability and optical solitons analysis of the paraxial wave dynamical model with Kerr media
verfasst von
Muhammad Arshad
Aly R. Seadawy
Dianchen Lu
Muhammad Shoaib Saleem
Publikationsdatum
01.01.2021
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 1/2021
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-020-02637-6

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