Lump solutions to a (2+1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form-Reference-Cited by-同舟云学术

Lump solutions to a (2+1)-dimensional fourth-order nonlinear PDE possessing a Hirota bilinear form

Published:2021-01-30 Issue:09 Volume:35 Page:2150160
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Ma Wen-Xiu¹²³⁴^ORCID,Manukure Solomon⁵,Wang Hui³⁶,Batwa Sumayah²³

Affiliation:

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

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

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

4. School of Mathematical and Statistical Sciences, North-West University, Mafikeng Camus, Private Bag X2046, Mmabatho 2735, South Africa

5. Department of Mathematics, Florida A& M University, Tallahassee, FL 32307, USA

6. College of Art and Sciences, Shanghai Maritime University, Shanghai 201306, China

Abstract

Through the Hirota bilinear formulation, a (2+1)-dimensional combined fourth-order nonlinear equation is proposed, which possesses lump solutions. Two classes of lump solutions are presented explicitly in terms of the coefficients in the combined nonlinear equation. A set of examples of equations is provided to show the diversity of the considered combined nonlinear equation, together with three-dimensional plots, [Formula: see text]-curves and [Formula: see text]-curves of two specific lump solutions in two cases of the combined equation.

Funder

National Natural Science Foundation of China

Natural Science Foundation for Colleges and Universities in Jiangsu Province

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984921501608

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