Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics
Joint Authors
Zhao, Zhonglong
He, Lingchao
Gao, Yubin
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-08-07
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, the bilinear method is employed to investigate the rogue wave solutions and the rogue type multiple lump wave solutions of the (2+1)-dimensional Benjamin-Ono equation.
Two theorems for constructing rogue wave solutions are proposed with the aid of a variable transformation.
Four kinds of rogue wave solutions are obtained by means of Theorem 1.
In Theorem 2, three polynomial functions are used to derive multiple lump wave solutions.
The 3-lump solutions, 6-lump solutions, and 8-lump solutions are presented, respectively.
The 3-lump wave has a “triangular” structure.
The centers of the 6-lump wave form a pentagram around a single lump wave.
The 8-lump wave consists of a set of seven first order rogue waves and one second order rogue wave as the center.
The multiple lump wave develops into low order rogue wave as parameters decline to zero.
The method presented in this paper provides a uniform method for investigating high order rational solutions.
All the results are useful in explaining high dimensional dynamical phenomena of the (2+1)-dimensional Benjamin-Ono equation.
American Psychological Association (APA)
Zhao, Zhonglong& He, Lingchao& Gao, Yubin. 2019. Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics. Complexity،Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132867
Modern Language Association (MLA)
Zhao, Zhonglong…[et al.]. Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics. Complexity No. 2019 (2019), pp.1-18.
https://search.emarefa.net/detail/BIM-1132867
American Medical Association (AMA)
Zhao, Zhonglong& He, Lingchao& Gao, Yubin. Rogue Wave and Multiple Lump Solutions of the (2+1)-Dimensional Benjamin-Ono Equation in Fluid Mechanics. Complexity. 2019. Vol. 2019, no. 2019, pp.1-18.
https://search.emarefa.net/detail/BIM-1132867
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1132867