Interaction solutions of a variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources

Author:

Yuan Na1,Liu Jian-Guo2ORCID,Seadawy Aly R.3,Khater Mostafa M. A.4

Affiliation:

1. School of General Education and International Studies , Chongqing College of Electronic Engineering , Chongqing 401331 , China

2. College of Computer , Jiangxi University of Chinese Medicine , Nanchang , Jiangxi 330004 , China

3. Mathematics Department, Faculty of Science , Taibah University , Al-Madinah Al-Munawarah , Saudi Arabia

4. Department of Mathematics, Faculty of Science , Jiangsu University , Zhenjiang , China

Abstract

Abstract Under investigation is a generalized variable-coefficient Kadomtsev–Petviashvili equation with self-consistent sources. Our main job is divided into four parts: (i) lump wave solution, (ii) interaction solutions between lump and solitary wave, (iii) breather wave solution and (iv) interaction solutions between lump and periodic wave. Furthermore, the interaction phenomenon of waves is shown in some 3D- and contour plots.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

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