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Optical and Quantum Electronics

Erschienen in:

01.01.2023

Application of new Kudryashov method to various nonlinear partial differential equations

verfasst von: Sandeep Malik, Mir Sajjad Hashemi, Sachin Kumar, Hadi Rezazadeh, W. Mahmoud, M. S. Osman

Erschienen in: Optical and Quantum Electronics | Ausgabe 1/2023

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Abstract

The purpose of this work is to seek various innovative exact solutions using the new Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This technique obtains novel exact solutions of soliton types. Moreover, several 3D and 2D plots of the higher dimensional Klein-Gordon, Kadomtsev-Petviashvili, and Boussinesq equations are demonstrated by considering the relevant values of the aforementioned parameters to exhibit the nonlinear wave structures more adequately. The new Kudryashov technique is an effective, and simple technique that provides new generalized solitonic wave profiles. It is anticipated that these novel solutions will enable a thorough understanding of the development and dynamic nature of such models.

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Titel: Application of new Kudryashov method to various nonlinear partial differential equations
verfasst von: Sandeep Malik
Mir Sajjad Hashemi
Sachin Kumar
Hadi Rezazadeh
W. Mahmoud
M. S. Osman
Publikationsdatum: 01.01.2023
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 1/2023
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-022-04261-y

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