A new approach for Painlevé analysis of the generalized Kawahara equation

Kutlu B., KAYA D.

International Conference on Advancements in Mathematical Sciences, AMS 2015, Antalya, Türkiye, 5 - 07 Kasım 2015, cilt.1676 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1676
  • Doi Numarası: 10.1063/1.4930443
  • Basıldığı Şehir: Antalya
  • Basıldığı Ülke: Türkiye
  • Anahtar Kelimeler: Painleve analysis, Generalized Kawahara equation, Hirota's method, Simplified Hirota's method
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, generalized Kawahara equation with a source is considered. It is shown that this equation is nonintegrable by using Painlevé test. An exact solution is also obtained with the help of simplified Hirota's method for the considered equation.