Soliton Solutions and Other Solutions to the (4+1)-Dimensional Davey–Stewartson–Kadomtsev–Petviashvili Equation using Modified Extended Mapping Method

被引：0
作者：
Wafaa B. Rabie
Tarek A. Khalil
Niveen Badra
Hamdy M. Ahmed
M. Mirzazadeh
M. S. Hashemi
机构：
[1] Higher Institute of Engineering and Technology,Department of Physics and Engineering Mathematics
[2] Higher Institute of Engineering and Technology,Department of Basic Science
[3] Ain Shams University,Department of Physics and Engineering Mathematics, Faculty of engineering
[4] El Shorouk Academy,Department of Physics and Engineering Mathematics, Higher Institute of Engineering
[5] Future University in Egypt,Faculty of Engineering and Technology
[6] University of Guilan,Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan
[7] University of Bonab,Department of Mathematics, Basic Science Faculty
来源：
Qualitative Theory of Dynamical Systems | 2024年 / 23卷
关键词：
DSKPE; Soliton wave solutions; Periodic solutions; Modified extended mapping method;
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摘要：
Our goal in this paper is to obtain the travelling wave solutions of the (4+1)-dimensional Davey–Stewartson–Kadomtsev–Petviashvili equation (DSKPE), which considered as a fundamental tool in studying a variety of phenomena appear in many applications of fluid mechanics and ocean engineering. This equation is used to describe the non-elastic and elastic interactions between internal waves. The novelty of this equation is due to the involvement of complex time which further holds importance within the theory of advanced modern nonlinearity. Our Study mainly depend on applying the modified extended mapping method to get the solitary wave solutions and other exact solutions of our model of interest. Many classification of solutions are established like (bright, dark, singular, combo dark-singular) soliton, also hyperbolic wave solution, as well as periodic, singular periodic, exponential and rational solutions. The three-dimensional and contour plots are depicted for some selected solutions to show the dynamics of the extracted solutions.
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