Application of new Kudryashov method to various nonlinear partial differential equations
No Thumbnail Available
Date
2022-11-13T00:00:00
Journal Title
Journal ISSN
Volume Title
Publisher
Springer
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. � 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
Description
Keywords
Boussinesq equation, Exact solutions, Kadomtsev�Petviashvili equation, Klein�Gordon equation, New Kudryashov method