Construction of solitary solution and compacton-like solution by the variational iteration method using Heʹʹs polynomials

Variational Iteration method using Heʹs polynomials can be used to construct solitary solution and compacton-like solution for nonlinear dispersive equatioons. The chosen initial solution can be determined in compacton-like form or in solitary form with some compacton-like or solitary forms with some unknown parameters, which can be determined in the solution procedure. The compacton-like solution and solitary solution can be converted into each other.