A Variational Iterative Method for Solving the Linear and Nonlinear Klein-Gordon Equations
نویسندگان
چکیده
In 1999, the variational iterative method (VIM) was first time proposed by J.H.He [1 − 10]. Recently, this method is used by many researchers to study linear and nonlinear ordinary, partial and integral equations. This method is more powerful than existing techniques such as ADM [11− 20] and perturbation etc. The present technique require no restrictive assumptions that are used to handle nonlinear terms. The VIM does not require specific transformation for nonlinear terms as required by other techniques. Our aim in this article is to apply VIM to find the exact solutions for Klein Gordon equations which has attracted much attention in studying solitons and condensed matter physics, investigating the interaction of solitons in collisionless plasma, quantum mechanics, relativistic physics, dispersive phenomena, the recurrence of initial state, and examining the nonlinear wave equations.
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