Mixed Rational-Exponential Solutions to the Kadomtsev-Petviashvili-II Equation with a Self-Consistent Source-Reference-Cited by-同舟云学术

Mixed Rational-Exponential Solutions to the Kadomtsev-Petviashvili-II Equation with a Self-Consistent Source

Published:2020-01-31 Issue: Volume:2020 Page:1-5
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Su Dan¹²,Ma Wen-Xiu³⁴⁵⁶⁷^ORCID,Yong Xuelin⁸^ORCID,Huang Yehui⁵⁸^ORCID

Affiliation:

1. Zhanjiang Preschool Education College, Zhanjiang 524084, Guangdong, China

2. Foundation Education Institute, Lingnan Normal University, Zhanjiang 524037, Guangdong, China

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

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

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

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

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

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

Abstract

Explicit rational-exponential solutions for the Kadomtsev-Petviashvili-II equation with a self-consistent source (KPIIESCS) are studied by the Hirota bilinear method. One typical feature for this hybrid type of solutions is that they contain two arbitrary functions of time variable t which affect the amplitudes and propagation trajectories. The dynamics of solutions are demonstrated by the three-dimensional figures. The method used here is quite general and can be applied to other equations with self-content sources.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2020/6127294.pdf

Reference23 articles.

1. On equations for wave interactions

2. A direct method for deriving a multi-soliton solution for the problem of interaction of waves on thex,y plane

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