New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity

İNÇ M., Rezazadeh H., Vahidi J., Eslami M., AKINLAR M. A. , Ali M. N. , ...Daha Fazla

AIMS MATHEMATICS, cilt.5, sa.6, ss.6972-6984, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Konu: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3934/math.2020447
  • Sayfa Sayıları: ss.6972-6984


We present new exact solutions in the form of solitary waves for the conformable Klein-Gordon equation with quintic nonlinearity. We use functional variable method which converts a conformable PDE to a second-order ordinary differential equation through a traveling wave transformation. We obtain periodic wave and solitary wave solutions including particularly kinkprofile and bell-profile type solutions. The present method is a direct and concise technique which has the potential to be applicable to many other conformable PDEs arising in physics and engineering.