The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation-Reference-Cited by-同舟云学术

The dynamical behavior of mixed type lump solutions on the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq equation

Published:2020-07-06 Issue:7-8 Volume:21 Page:661-665
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Liu Jian-Guo¹,Eslami Mostafa²,Rezazadeh Hadi³,Mirzazadeh Mohammad⁴

Affiliation:

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

2. Department of Mathematics, Faculty of Mathematical Sciences , University of Mazandaran , Babolsar , Iran

3. Faculty of Engineering Technology , Amol University of Special Modern Technologies , Amol , Iran

4. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan , University of Guilan , Rudsar-Vajargah , Iran

Abstract

Abstract This paper studies the (3 + 1)-dimensional generalized Kadomtsev–Petviashvili–Boussinesq (KPB) equation via the Hirota’s bilinear form and symbolic computation. Mixed type lump solutions are presented, which include rational function, trigonometric function and hyperbolic function. The propagation and the dynamical behaviors of these mixed type of lump solutions are shown by some three-dimensional and contour plots.

Funder

National Natural Science Foundation of China

Publisher

Walter de Gruyter GmbH

Subject

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

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2018-0373/pdf

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