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Optical and Quantum Electronics
Published in: Optical and Quantum Electronics 1/2024

01-01-2024

Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method

Authors: Boubekeur Gasmi, Alaaeddin Moussa, Yazid Mati, Lama Alhakim, Haci Mehmet Baskonus

Published in: Optical and Quantum Electronics | Issue 1/2024

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Abstract

This paper deals with a nonlinear Schrödinger equation in the sense of conformable derivative. Bifurcations and phase portraits are first proposed by using bifurcation theory, which investigates the dynamical behavior of this equation. This bifurcation theory classifies the plausible solutions to infinite periodic wave solutions, periodic wave solutions, two kink (anti-kink) wave solutions, and two families of breaking wave solutions. A generalized double auxiliary equation approach that generates three families of exact exact traveling wave solutions is then proposed using the conformable operator under various parameter conditions. The 3D behavior of various solutions with absolute real and imaginary parts is displayed. The obtained results show that the proposed methodology is efficient and applicable to a broad class of conformable nonlinear partial differential equations in mathematical physics.
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Metadata
Title
Bifurcation and exact traveling wave solutions to a conformable nonlinear Schrödinger equation using a generalized double auxiliary equation method
Authors
Boubekeur Gasmi
Alaaeddin Moussa
Yazid Mati
Lama Alhakim
Haci Mehmet Baskonus
Publication date
01-01-2024
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 1/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05578-y

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