Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation-Reference-Cited by-同舟云学术

Lump Solutions to a (2+1)-Dimensional Fifth-Order KdV-Like Equation

Published:2018-07-02 Issue: Volume:2018 Page:1-6
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Batwa Sumayah¹²^ORCID,Ma Wen-Xiu¹³⁴⁵⁶^ORCID

Affiliation:

1. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA

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

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

4. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China

5. College of Mathematics and Physics, Shanghai University of Electric Power, Shanghai 200090, 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

Abstract

A (2+1)-dimensional fifth-order KdV-like equation is introduced through a generalized bilinear equation with the prime number p=5. The new equation possesses the same bilinear form as the standard (2+1)-dimensional fifth-order KdV equation. By Maple symbolic computation, classes of lump solutions are constructed from a search for quadratic function solutions to the corresponding generalized bilinear equation. We get a set of free parameters in the resulting lump solutions, of which we can get a nonzero determinant condition ensuring analyticity and rational localization of the solutions. Particular classes of lump solutions with special choices of the free parameters are generated and plotted as illustrative examples.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2018/2062398.pdf

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