Construction of solitary solution and compacton-like solution by the variational iteration method using He's polynomials

Variational Iteration method using He's polynomials can be used to construct solitary solution and compacton-like solution for nonlinear dispersiveequatioons. The chosen initial solution can be determined in compacton-likeform or in solitary form with some compacton-like or solitary forms withsome unknown parameters, which can be determined in the solution procedure. The compacton-like solution and solitary solution can beconverted into each other.