Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics
Joint Authors
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-20
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
In this paper, a new generalized semidiscrete integrable system with time-varying coefficients is analytically studied.
Firstly, the generalized semidiscrete system is derived from a semidiscrete matrix spectral problem by embedding finite time-varying coefficient functions.
Secondly, exact and explicit N-soliton solutions of the semidiscrete system are obtained by using the inverse scattering analysis.
Finally, three special cases when N=1,2,3 of the obtained N-soliton solutions are simulated by selecting some appropriate coefficient functions.
It is shown that the time-varying coefficient functions affect the spatiotemporal structures and the propagation velocities of the obtained semidiscrete one-soliton solutions, two-soliton solutions, and three-soliton solutions.
American Psychological Association (APA)
Zhang, Sheng& Zhao, Sen& Xu, Bo. 2020. Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics. Complexity،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139916
Modern Language Association (MLA)
Zhang, Sheng…[et al.]. Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics. Complexity No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1139916
American Medical Association (AMA)
Zhang, Sheng& Zhao, Sen& Xu, Bo. Analytical Insights into a Generalized Semidiscrete System with Time-Varying Coefficients: Derivation, Exact Solutions, and Nonlinear Soliton Dynamics. Complexity. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1139916
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1139916