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Optical and Quantum Electronics

Erschienen in:

01.05.2024

Novel computational technique for fractional Kudryashov–Sinelshchikov equation associated with regularized Hilfer–Prabhakar derivative

verfasst von: Jagdev Singh, Arpita Gupta

Erschienen in: Optical and Quantum Electronics | Ausgabe 5/2024

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Abstract

In the present paper we propose a novel analytical technique to obtain the solution of nonlinear partial differential equations. Additionally, we also implement the proposed method to find out the solution of fractional Kudryashov–Sinelshchikov equation. Since the Kudryashov–Sinelshchikov equation exhorts the pressure waves in mixture of liquid gas bubble while considering the viscosity and heat transport. Here regularized version of Hilfer–Prabhakar derivative of fractional order is utilized to model the problem. The obtained results are presented graphically for some specific values of constants and for distinct values of fractional order at different stages of time. The graphical behaviour of results show that the proposed method is very efficient to solve the nonlinear partial differential equations and reliable.

Vorheriger Artikel Soliton solutions of the time-fractional Sharma–Tasso–Olver equations arise in nonlinear optics

Nächster Artikel On the super solitonic structures for the fractional nonlinear Schrödinger equation

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Titel: Novel computational technique for fractional Kudryashov–Sinelshchikov equation associated with regularized Hilfer–Prabhakar derivative
verfasst von: Jagdev Singh
Arpita Gupta
Publikationsdatum: 01.05.2024
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 5/2024
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-024-06594-2

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