Multi-component AKNS systems

Gürses, Metin; YILDIZ, ASLI

doi:10.1016/j.wavemoti.2022.103104

Multi-component AKNS systems

Gürses M., YILDIZ A.

Wave Motion, cilt.117, 2023 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 117
Basım Tarihi: 2023
Doi Numarası: 10.1016/j.wavemoti.2022.103104
Dergi Adı: Wave Motion
Derginin Tarandığı İndeksler: 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
Anahtar Kelimeler: Multi-component AKNS systems, Local and nonlocal reductions, Hirota method, Negative hierarchy
Hacettepe Üniversitesi Adresli: Evet

Özet

© 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.