Application of variational iteration method to the fifth-order KdV equation. (English) Zbl 1146.35079

Jin, Lin

Int. J. Contemp. Math. Sci. 3, No. 5-8, 213-221 (2008).

Summary: We propose an efficient approach to solve the fifth-order KdV equations. By using the variational iteration method, the exact solutions of the fifth-order KdV equations are given without the calculation of the complicated Adomian’s polynomials, linearization, discretization, weak nonlinearity assumptions or perturbation theory. Numerical examples are presented that show the efficiency of the proposed method.

MSC:

35Q53	KdV equations (Korteweg-de Vries equations)
65D99	Numerical approximation and computational geometry (primarily algorithms)
35A15	Variational methods applied to PDEs
35C05	Solutions to PDEs in closed form

Keywords:

fifth-order KdV equation; variational iteration method; Adomian decomposition method; Adomian polynomial; exact solution

Software:

PDESpecialSolutions