Symmetry Analysis, Bäcklund Transformations, and Interaction Solutions for an AB Modified KdV System
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
An AB modified KdV (AB-mKdV) system which can be used to describe two-place event is studied in this manuscript.
Because the AB-mKdV system is considered as a special reduction of the famous AKNS system, the properties of the AKNS system are first revealed by using symmetry analysis.
The nonlocal symmetries related to truncated Painlevé expansion, the finite transformation, and the symmetry reduction solutions of the AKNS system are presented.
The corresponding Bäcklund transformations and the interaction solutions of the AB-mKdV system are constructed based on the special reduction.
The results demonstrate that the AB-mKdV system possesses many kinds of interaction solutions, such as the interactions between kink and soliton and kink and cnoidal waves.
The soliton can be changed from bright to dark during propagation.
American Psychological Association (APA)
Jia, Man. 2020. Symmetry Analysis, Bäcklund Transformations, and Interaction Solutions for an AB Modified KdV System. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127391
Modern Language Association (MLA)
Jia, Man. Symmetry Analysis, Bäcklund Transformations, and Interaction Solutions for an AB Modified KdV System. Advances in Mathematical Physics No. 2020 (2020), pp.1-13.
https://search.emarefa.net/detail/BIM-1127391
American Medical Association (AMA)
Jia, Man. Symmetry Analysis, Bäcklund Transformations, and Interaction Solutions for an AB Modified KdV System. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-13.
https://search.emarefa.net/detail/BIM-1127391
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127391