Novel soliton solutions of the generalized (۳+۱)-dimensional conformable KP and KP–BBM equations
Publish place: Computational Sciences and Engineering، Vol: 1، Issue: 1
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CSE-1-1_001
تاریخ نمایه سازی: 23 آبان 1400
Abstract:
In this study, our main goal is to study the exact traveling wave solutions of some recent nonlinear evolution equations, namely, modified generalized (۳+۱)-dimensional time-fractional Kadomtsev–Petviashvili (KP) and Kadomtsev-Petviashvili-Benjamin-Bona-Mahony (KP-BBM) equations of conformable type. We employed a consistent analytical method called the generalized Riccati equation mapping method, along with a conformable derivative to extract the multiple kinks, bi-symmetry soliton, bright and dark soliton solutions, periodic solutions, and singular solutions for suggested equations. The theoretical method is based on the Riccati equation and a number of empirical solutions have been proposed that do not exist in the literature. Furthermore, as the order of the fractional derivative approaches one, the exact solutions obtained by the current method are reduced to classical solutions. The obtained results show that the present technique is effective, easy to implement, and a strong tool for solving nonlinear fractional partial differential equations, and produces a very large number of solutions.
Keywords:
Conformable derivative , Generalized KP-BBM equation , Generalized Riccati equation mapping method , Generalized KP equation , Soliton solutions
Authors
Mehmet Senol
Nevsehir Haci Bektas Veli University, Department of Mathematics, Nevsehir, Turkey
Emad Az-Zobi
Mutah University, Department of Mathematics and Statistics, Al-Karak, Jordan
Lanre Akinyemi
Prairie View A&M University, Department of Mathematics, Prairie View, TX, USA
Ahmed Alleddawi
Mutah University, Department of Mathematics and Statistics, Al-Karak, Jordan