The method of <i>M<sub>n</sub></i>-extension: The KdV equation

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GÜRSES M., PEKCAN YILDIZ A.

PHYSICS LETTERS A, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.physleta.2024.130217
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Chemical Abstracts Core, Communication Abstracts, Compendex, INSPEC, Metadex, Philosopher's Index, zbMATH, DIALNET, Civil Engineering Abstracts
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this work we generalize M-2-extension that has been introduced recently. For illustration we use the KdV equation. We present five different M-3-extensions of the KdV equation and their recursion operators. We give a compact form of M-n-extension of the KdV equation and recursion operator of the coupled KdV system. The method of M-n-extension can be applied to any integrable scalar equation to obtain integrable multi-field system of equations. We also present unshifted and shifted nonlocal reductions of an example of M-3-extension of KdV.