Application of new Kudryashov method to various nonlinear partial differential equations

被引：0
作者：
Sandeep Malik
Mir Sajjad Hashemi
Sachin Kumar
Hadi Rezazadeh
W. Mahmoud
M. S. Osman
机构：
[1] Central University of Punjab,Department of Mathematics and Statistics
[2] University of Bonab,Department of Mathematics
[3] Amol University of Special Modern Technologies,Faculty of Engineering Technology
[4] Cairo University,Department of Mathematics, Faculty of Science
[5] Umm Al-Qura University,Department of Mathematics, Faculty of Applied Science
来源：
Optical and Quantum Electronics | 2023年 / 55卷
关键词：
New Kudryashov method; Klein–Gordon equation; Kadomtsev–Petviashvili equation; Boussinesq equation; Exact solutions;
D O I：
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摘要：
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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