Multi-component AKNS systems

Gürses M., YILDIZ A.

Wave Motion, vol.117, 2023 (SCI-Expanded) identifier identifier identifier

  • Publication Type: Article / Article
  • Volume: 117
  • Publication Date: 2023
  • Doi Number: 10.1016/j.wavemoti.2022.103104
  • Journal Name: Wave Motion
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Multi-component AKNS systems, Local and nonlocal reductions, Hirota method, Negative hierarchy
  • Hacettepe University Affiliated: Yes

Abstract

© 2022 Elsevier B.V.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 (2+1)-dimensional extensions of the multi-component AKNS systems.