Prolongation Structures and N-Soliton Solutions for a New Nonlinear Schrödinger-Type Equation via Riemann-Hilbert Approach
Joint Authors
Dong, Huanhe
Fang, Yong
Lin, Yuxin
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-11
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
In this paper, a new integrable nonlinear Schrödinger-type (NLST) equation is investigated by prolongation structures theory and Riemann-Hilbert (R-H) approach.
Via prolongation structures theory, the Lax pair of the NLST equation, a 2×2 matrix spectral problem, is derived.
Depending on the analysis of red the spectral problem, a R-H problem of the NLST equation is formulated.
Furthermore, through a specific R-H problem with the vanishing scattering coefficient, N-soliton solutions of the NLST equation are expressed explicitly.
Moreover, a few key differences are presented, which exist in the implementation of the inverse scattering transform for NLST equation and cubic nonlinear Schrödinger (NLS) equation.
Finally, the dynamic behaviors of soliton solutions are shown by selecting appropriate spectral parameter λ, respectively.
American Psychological Association (APA)
Lin, Yuxin& Fang, Yong& Dong, Huanhe. 2019. Prolongation Structures and N-Soliton Solutions for a New Nonlinear Schrödinger-Type Equation via Riemann-Hilbert Approach. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195420
Modern Language Association (MLA)
Lin, Yuxin…[et al.]. Prolongation Structures and N-Soliton Solutions for a New Nonlinear Schrödinger-Type Equation via Riemann-Hilbert Approach. Mathematical Problems in Engineering No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1195420
American Medical Association (AMA)
Lin, Yuxin& Fang, Yong& Dong, Huanhe. Prolongation Structures and N-Soliton Solutions for a New Nonlinear Schrödinger-Type Equation via Riemann-Hilbert Approach. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1195420
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195420