Rational solutions and lump solutions to the (3+1)-dimensional Mel’nikov equation-Reference-Cited by-同舟云学术

Rational solutions and lump solutions to the (3+1)-dimensional Mel’nikov equation

Published:2019-12-18 Issue:03 Volume:34 Page:2050033
ISSN:0217-9849
Container-title:Modern Physics Letters B
language:en
Short-container-title:Mod. Phys. Lett. B

Author:

Yong Xuelin¹,Li Xiaoyu¹,Huang Yehui¹,Ma Wen-Xiu²³⁴⁵⁶,Liu Yong⁷

Affiliation:

1. School of Mathematical Sciences and Physics, North China Electric Power University, Beijing 102206, China

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

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

4. Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa

5. College of Mathematics and System Sciences, Shandong University of Science and Technology, Qingdao 266590, Shandong, China

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

7. School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, Anhui, China

Abstract

In this paper, explicit representation of general rational solutions for the (3[Formula: see text]+[Formula: see text]1)-dimensional Mel’nikov equation is derived by employing the Hirota bilinear method. It is obtained in terms of determinants whose matrix elements satisfy some differential and difference relations. By selecting special value of the parameters involved, the first-order and second-order lump solutions are given and their dynamic characteristics are illustrated by two- and three-dimensional figures.

Funder

Fundamental Research Funds for the Central Universities

13th Five Year National Key Research and Development Program of China

NSF of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217984920500335

Reference48 articles.

1. Nonlinear Phenomena in Physics and Biology