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 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.