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Optical and Quantum Electronics

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01-04-2024

On the soliton structures to the space-time fractional generalized reaction Duffing model and its applications

Authors: Kalim U. Tariq, Mustafa Inc, Mir Sajjad Hashemi

Published in: Optical and Quantum Electronics | Issue 4/2024

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Abstract

In this study, the space-time fractional generalised reaction duffing model is investigated analytically, which is a generalization for a collection of prominent fractional models describing various key phenomenon in science and engineering. The governing equation is converted to a nonlinear ODE by the compatible travelling wave transform. The investigation established that for analysing nonlinear evolution equations of fractional order, the recommended approach is more effective and realistic. The findings are given extensively in rational forms of trigonometric function series or clearly in powers of specific trigonometric functions. A collection of bright, dark, periodic, and optical solitons is discovered. Mathematica is used to flourish the presence of some obtained solutions in 3D graphs with different fractional orders. The results show that the recommended methods are more practical and effective ways to illustrate the dynamics of several complex wave structures in modern science and technology.

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Title: On the soliton structures to the space-time fractional generalized reaction Duffing model and its applications
Authors: Kalim U. Tariq
Mustafa Inc
Mir Sajjad Hashemi
Publication date: 01-04-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 4/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-024-06348-0

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