Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation-Reference-Cited by-同舟云学术

Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation

Published:2021-12-01 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Li Junjie¹,Manafian Jalil²³^ORCID,Hang Nguyen Thi⁴,Ngoc Huy Dinh Tran⁵⁶,Davidyants Alla⁷

Affiliation:

1. School of Applied Mathematics , Xiamen University of Technology , Xiamen 361024 , China

2. Department of Applied Mathematics, Faculty of Mathematical Sciences , University of Tabriz , Tabriz , Iran

3. Natural Sciences Faculty , Lankaran State University , 50, H. Aslanov str. , Lankaran , Azerbaijan

4. Thai Nguyen University of Information and Communication Technology , Thai Nguyen City , Vietnam

5. Banking University , HCMC, Ho Chi Minh city , Vietnam

6. International University of Japan , Niigata , Japan

7. Department of Propaedeutics of Dental Diseases , Sechenov First Moscow State Medical University , Moscow , Russia

Abstract

Abstract The Hirota bilinear method is prepared for searching the diverse soliton solutions to the (2+1)-dimensional Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP-BBM) equation. Also, the Hirota bilinear method is used to find the lump and interaction with two stripe soliton solutions. Interaction among lumps, periodic waves, and one-kink soliton solutions are investigated. Also, the solitary wave, periodic wave, and cross-kink wave solutions are examined for the KP-BBM equation. The graphs for various parameters are plotted to contain a 3D plot, contour plot, density plot, and 2D plot. We construct the exact lump and interaction among other types of solutions, by solving the underdetermined nonlinear system of algebraic equations with the associated parameters. Finally, analysis and graphical simulation are presented to show the dynamical characteristics of our solutions, and the interaction behaviors are revealed. The existing conditions are employed to discuss the available got solutions.

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

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2020-0156/pdf

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