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

AIMS Mathematics

Mustafa Inc¹  Hadi Rezazadeh²  Javad Vahidi³  Mostafa Eslami⁴  Mehmet Ali Akinlar⁵  Muhammad Nasir Ali⁶  Yu-Ming Chu⁷ 

[1] 1 Department of Mathematics, Firat University, Elazig, Turkey 2 Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;3 Faculty of Engineering Technology, Amol University of Special Modern Technology, Amol, Iran;4 Department of Applied Mathematics, Iran University of Science and Technology, Tehran, Iran;5 Department of Mathematics, University of Mazandaran, Babolsar, Iran;6 Department of Mathematical Engineering, Yildiz Technical University, Istanbul, Turkey;7 National University of Computer and Emerging Sciences, Fast, Lahore, Pakistan;8 Department of Mathematics, Huzhou University, Huzhou 313000, China 9 Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China;

关键词: functional variable technique;    conformable derivative;    conformable klein-gordon with quantic nonlinearity;    exact wave solutions;   

DOI  :  10.3934/math.2020447

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown