New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity
Hadi Rezazadeh, Javad Vahidi, Mostafa Eslami, Mehmet Ali Akınlar, Muhammad Ali, Yu‐Ming Chu
Abstract
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.
Topics & Concepts
Conformable matrixNonlinear systemOrdinary differential equationMathematical analysisPartial differential equationTransformation (genetics)Quintic functionTraveling waveMathematicsPhysicsMathematical physicsDifferential equationQuantum mechanicsChemistryGeneBiochemistryNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions