Complexiton solutions for two nonlinear partial differential equations via modification of simplified Hirota method

ÜNSAL Ö., Bekir A., TAŞCAN F., ÖZER M. N.

WAVES IN RANDOM AND COMPLEX MEDIA, cilt.27, sa.1, ss.117-128, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1080/17455030.2016.1205238
  • Dergi Adı: WAVES IN RANDOM AND COMPLEX MEDIA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.117-128
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this study, we obtain complexiton solutions of Sawada-Kotera equation and ninth-order KdV equation. For this cause, we employ Wazwaz and Zhaqilao's method which can be regarded as generalization of simplified Hirota method through extension real parameters into complex parameters. Special conditions to distinguish complexiton, soliton, and soliton-complexiton interaction solutions from each other are given.