Abstract

The Sine-Gordon equation is a nonlinear wave equation involving the d’Alembert operator and the sine of the unknown function, and it is involved in crystal dislocation. Intrinsically, this equation is closely connected Klein-Gordon equation. The Klein-Gordon equation is that of the motion of a quantum scalar or pseudoscalar field, a field whose quanta are spinless particles. In this article, we have checked the representation on solutions of Sine-Gordon and Klein-Gordon equations by Laplace transform.

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