Exact solutions for Klein-Gordon equation with quadratic non linearity
Authors :
Subin P. Joseph 1 *
Author Address :
1 Department of Mathematics, Government Engineering College, Wayanad-670644, Kerala, India.
Abstract :
Availability of exact solutions are important for any nonlinear partial differential equation which represent any physical phenomenon. A general Klein-Gordon equation with quadratic non linearity is considered in this paper and several new exact solutions are derived. These solutions are derived in terms of Jacobi elliptic functions. The periodic solutions and hyperbolic solutions can be derived from these solutions as limiting cases of Jacobi elliptic function solutions.
Keywords :
Klein-Gordon equation, Exact solutions, Periodic solutions, Jacobi elliptic functions.
DOI :
Article Info :
Received : February 24, 2020; Accepted : April 19, 2020.
