Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations

Year 2019, Volume: 7 Issue: 1, 7 - 15, 15.04.2019

Hami Gündoğdu , Ömer Faruk Gözükızıl

Abstract

In this paper, we put forward a powerful method, named as the double Laplace decomposition method, for obtaining exact solutions of nonlinear partial differential equations subject to initial conditions. We especially interested in Hirota, Schrödinger and complex modified KdV equations with their initial conditions. The double Laplace deceomposition method is applied to these equations. We then gain complex-valued solutions, yield the given initial conditions. Moreover, we give some nonlinear partial equations to demonstrate that this method effective, useful, and powerful tool for getting real-valued functions.

Keywords

Double Laplace transform, decomposition method, exact solution, Hirota equation, Schrödinger equation, complex mKdV equation

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