Complexiton and interaction solutions of the (1+1)-dimensional sixth-order Ramani equation

Khareng S., ÜNSAL Ö.

AIMS Mathematics, cilt.10, sa.9, ss.20262-20272, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 9
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3934/math.2025905
  • Dergi Adı: AIMS Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Directory of Open Access Journals
  • Sayfa Sayıları: ss.20262-20272
  • Anahtar Kelimeler: complexiton solution, interaction solution, simplified Hirota method, the (1+1)-dimensional sixth-order Ramani equation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

This study shows the attainability of solutions to the sixth-order Ramani equation through a procedure called the simplified Hirota method, which can be thought of as a special case of the Hirota direct method. This special case comes into sight by virtue of the transition between real and complex parameters. In this procedure, dispersion relations and phase shifts play a decisive role in finding solutions. Particularly, chosen cases of phase shifts provide us different kinds of solutions, such as soliton, complexiton, and interaction solutions.