Penggunaan Metode Analisis Homotopi pada Penyelesaian Persamaan Schrodinger-KdV

Abstract

Schrodinger-KdV equations are mathematical model that can be applied in determining the maximum height of the bichromatic wave packet wrapper. These equations form nonlinear partial differential equations. Solution of Schrodinger- KdV equations are done by using homotopy analysis method. The use of homotopy analysis method is done by defining a homotopy function. Homotopy function requires auxiliary parameter that can be used to control the convergence area of the solution of Schrodinger-KdV equations. The obtained solution is in the form of recursive formula with given initial approach in the form of hyperbolic function. The use of homotopy analysis method is highly efficient and effective to solve Schrodinger-KdV equations, and the resulting error is very small.