Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-06
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Searching for integrable systems and constructing their exact solutions are of both theoretical and practical value.
In this paper, Ablowitz–Kaup–Newell–Segur (AKNS) spectral problem and its time evolution equation are first generalized by embedding a new spectral parameter.
Based on the generalized AKNS spectral problem and its time evolution equation, Lax integrability of a nonisospectral integrodifferential system is then verified.
Furthermore, exact solutions of the nonisospectral integrodifferential system are formulated through the inverse scattering transform (IST) method.
Finally, in the case of reflectionless potentials, the obtained exact solutions are reduced to n-soliton solutions.
When n=1 and n=2, the characteristics of soliton dynamics of one-soliton solutions and two-soliton solutions are analyzed with the help of figures.
American Psychological Association (APA)
Zhang, Sheng& Hong, Siyu. 2017. Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System. Complexity،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1143726
Modern Language Association (MLA)
Zhang, Sheng& Hong, Siyu. Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System. Complexity No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1143726
American Medical Association (AMA)
Zhang, Sheng& Hong, Siyu. Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System. Complexity. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1143726
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143726