Multi-component AKNS systems
Date
2022-12-31
Authors
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
Wave Motion
Print ISSN
0165-2125
Electronic ISSN
Publisher
Elsevier
Volume
117
Issue
Pages
103104-[1] - 103104-13
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
We study two members of the multi-component AKNS hierarchy. These are multi-NLS and multi-MKdV systems. We derive the Hirota bilinear forms of these equations and obtain soliton solutions. We find all possible local and nonlocal reductions of these systems of equations and give a prescription to obtain their soliton solutions. We derive also -dimensional extensions of the multi-component AKNS systems.