High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate a reduced generalized (3 + 1)-dimensional shallow water wave equation, which can be used to describe the nonlinear dynamic behavior in physics.
By employing Bell’s polynomials, the bilinear form of the equation is derived in a very natural way.
Based on Hirota’s bilinear method, the expression of N-soliton wave solutions is derived.
By using the resulting N-soliton expression and reasonable constraining parameters, we concisely construct the high-order breather solutions, which have periodicity in x,y-plane.
By taking a long-wave limit of the breather solutions, we have obtained the high-order lump solutions and derived the moving path of lumps.
Moreover, we provide the hybrid solutions which mean different types of combinations in lump(s) and line wave.
In order to better understand these solutions, the dynamic phenomena of the above breather solutions, lump solutions, and hybrid solutions are demonstrated by some figures.
American Psychological Association (APA)
Wang, Jing& Li, Biao. 2020. High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation. Complexity،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1145358
Modern Language Association (MLA)
Wang, Jing& Li, Biao. High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation. Complexity No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1145358
American Medical Association (AMA)
Wang, Jing& Li, Biao. High-Order Breather Solutions, Lump Solutions, and Hybrid Solutions of a Reduced Generalized (3 + 1)-Dimensional Shallow Water Wave Equation. Complexity. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1145358
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1145358