N-Soliton Solutions of the Coupled Kundu Equations Based on the Riemann-Hilbert Method
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-28
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The Kundu equation, which can be used to describe many phenomena in physics and mechanics, has crucial theoretical meaning and research value.
In previous studies, the single Kundu equation has been investigated by the Riemann-Hilbert method, but few researchers have focused on the coupled Kundu equations.
To our knowledge, many phenomena in nature can be only described by coupled equations, such as species competition and signal interactions.
In this paper, we discuss N-soliton solutions of the coupled Kundu equations according to the Riemann-Hilbert method.
Starting from the spectral problem, the coupled Kundu equations are generated, and the Riemann-Hilbert problem is presented.
When the jump matrix of the Riemann-Hilbert problem is the identity matrix, the N-soliton solutions of the coupled Kundu equations can be expressed explicitly.
American Psychological Association (APA)
Tao, Mengshuang& Dong, Huanhe. 2019. N-Soliton Solutions of the Coupled Kundu Equations Based on the Riemann-Hilbert Method. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195018
Modern Language Association (MLA)
Tao, Mengshuang& Dong, Huanhe. N-Soliton Solutions of the Coupled Kundu Equations Based on the Riemann-Hilbert Method. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1195018
American Medical Association (AMA)
Tao, Mengshuang& Dong, Huanhe. N-Soliton Solutions of the Coupled Kundu Equations Based on the Riemann-Hilbert Method. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195018