Generalized Matrix Exponential Solutions to the AKNS Hierarchy
Joint Authors
Zhang, Jian-bing
Gu, Canyuan
Ma, Wen-Xiu
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-02-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Generalized matrix exponential solutions to the AKNS equation are obtained by the inverse scattering transformation (IST).
The resulting solutions involve six matrices, which satisfy the coupled Sylvester equations.
Several kinds of explicit solutions including soliton, complexiton, and Matveev solutions are deduced from the generalized matrix exponential solutions by choosing different kinds of the six involved matrices.
Generalized matrix exponential solutions to a general integrable equation of the AKNS hierarchy are also derived.
It is shown that the general equation and its matrix exponential solutions share the same linear structure.
American Psychological Association (APA)
Zhang, Jian-bing& Gu, Canyuan& Ma, Wen-Xiu. 2018. Generalized Matrix Exponential Solutions to the AKNS Hierarchy. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119069
Modern Language Association (MLA)
Zhang, Jian-bing…[et al.]. Generalized Matrix Exponential Solutions to the AKNS Hierarchy. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119069
American Medical Association (AMA)
Zhang, Jian-bing& Gu, Canyuan& Ma, Wen-Xiu. Generalized Matrix Exponential Solutions to the AKNS Hierarchy. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119069
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119069
