Lump solutions to a generalized Kadomtsev–Petviashvili–Ito equation

Author:

Ding Liyuan12ORCID,Ma Wen-Xiu3425,Huang Yehui6

Affiliation:

1. School of Science, Nanjing University of Science, and Technology, Nanjing 210094, Jiangsu, China

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

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

4. Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

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

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

Abstract

A (2+1)-dimensional generalized Kadomtsev–Petviashvili–Ito equation is introduced. Upon adding some second-order derivative terms, its various lump solutions are explicitly constructed by utilizing the Hirota bilinear method and calculated through the symbolic computation system Maple. Furthermore, two specific lump solutions are obtained with particular choices of the parameters and their dynamical behaviors are analyzed through three-dimensional plots and contour plots.

Funder

China Scholarship Council

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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