Abundant solutions of an extended KPII equation combined with a new fourth-order term-Reference-Cited by-同舟云学术

Abundant solutions of an extended KPII equation combined with a new fourth-order term

Published:2020-05-27 Issue:21 Volume:34 Page:2050219
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Zhang Liqin¹²^ORCID,Ma Wen Xiu³²⁴⁵⁶,Huang Yehui⁴⁷

Affiliation:

1. College of Information Science and Artificial Intelligence, Xiamen Institute of Technology, Xiamen 361021, Fujian, China

2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

3. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China

4. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

5. School of Mathematics, South China University of Technology, Guangzhou 510640, China

6. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa

7. School of Mathematics and Physics, North China Electric Power University, Beijing, 102206, China

Abstract

An extension of the KPII equation is studied. Adding a new fourth-order derivative term and some second-order derivative terms, we formulate an extended KPII equation. Different types of solutions of the extended equation are obtained by the Hirota bilinear method, and the presented solutions include soliton solutions, lump solutions and interaction solutions. Their dynamical behaviors are analyzed through plots.

Funder

National Natural Science Foundation of China

National Science Foundation

Fundamental Research Funds of the Central Universities

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021798492050219X

Reference45 articles.

1. Two‐dimensional lumps in nonlinear dispersive systems

2. Solitons, Nonlinear Evolution Equations and Inverse Scattering

3. Self-focusing of plane dark solitons in nonlinear defocusing media

4. The AKNS hierarchy as symmetry constraint of the KP hierarchy

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