Research article

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

  • Received: 16 June 2020 Accepted: 03 September 2020 Published: 09 September 2020
  • MSC : 35A09, 35E05

  • 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 kink-profile 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.

    Citation: Mustafa Inc, Hadi Rezazadeh, Javad Vahidi, Mostafa Eslami, Mehmet Ali Akinlar, Muhammad Nasir Ali, Yu-Ming Chu. New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity[J]. AIMS Mathematics, 2020, 5(6): 6972-6984. doi: 10.3934/math.2020447

    Related Papers:

  • 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 kink-profile 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.


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