Complexiton solutions and soliton solutions: -dimensional Date-Jimbo-Kashiwara-Miwa equation

Adem A. R., Yildirim Y., YAŞAR E.

PRAMANA-JOURNAL OF PHYSICS, cilt.92, sa.3, 2019 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 92 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s12043-018-1707-x
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Date-Jimbo-Kashiwara-Miwa equation, soliton solutions, multiple exp-function method, complexiton solutions, extended transformed rational function method, LUMP-KINK SOLUTIONS, EXP-FUNCTION METHOD, CONSERVATION-LAWS, KP
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this work, we derive the complexiton solutions for Date-Jimbo-Kashiwara-Miwa (DJKM) equation using the extended transformed rational function algorithm that relies on the Hirota bilinear form of the considered equation. Additional solutions such as complex-valued solutions also fall out of this integration scheme. Multisoliton-type solutions, in other words one-soliton, two-soliton and three-soliton solutions, which comprise both wave frequencies and generic phase shifts are presented through the medium of the multiple exp-function methodology which falls out as a result of generalisation of Hirota's perturbation technique.