Complexiton solutions for Complex Kdv equation by Optimal Homotopy Asymptotic Method

Abstract

In this article an innovative technique named as Optimal Homotopy Asymptotic Method has been explored to treat system of kdv equations computed from complex kdv equation. By developing special form of initial value problems to complex kdv equation, three different types of semi analytic complextion solutions from complex Kdv equation have been achieved. Semi analytic position solution followed by trigonometric form of Initial value problem, semi analytic negation solution followed by hyperbolic form of initial value problem and another special type of semi analytic solution expressed by the combination of trigonometric and hyperbolic function. It was proved that only first order OHAM solution is accurate to the closed-form solution.