Shifted nonlocal reductions of 5-component Maccari system

Baylı S., PEKCAN YILDIZ A.

Physica Scripta, cilt.101, sa.1, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 101 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1088/1402-4896/ae2e54
  • Dergi Adı: Physica Scripta
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Compendex, INSPEC, zbMATH
  • Anahtar Kelimeler: 5-component Maccari system, hirota method, shifted nonlocal reductions, soliton solutions
  • Hacettepe Üniversitesi Adresli: Evet

Özet

In this work, we prove that shifted nonlocal reductions of integrable (2 + 1)-dimensional 5-component Maccari system are particular cases of shifted scale symmetry transformations. We present all shifted nonlocal reductions of this system and obtain new two-place and four-place integrable systems and equations. In addition to that we use the Hirota direct method and obtain one-soliton solution of the 5-component Maccari system. By using the reduction formulas with the solution of the Maccari system we also derive soliton solutions of the shifted nonlocal reduced Maccari systems and equations. We give some particular examples of solutions with their graphs.