Exact solutions for Klein-Gordon equation with quadratic non linearity

Subin P. Joseph

doi:10.26637/MJM0802/0054

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

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Subin P. Joseph Department of Mathematics, Government Engineering College, Wayanad-670644, Kerala, India.

Pages: 642-645
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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