In this paper we study the existence and uniqueness of global self-similar solutions to the Cauchy problem for nonlinear Schrodinger equation by using the method of harmonic analysis.

Moreover,the global unique existence of self-similar solutions is obtained in weak L~p space for the small initial value with self-similar structure.

In this paper we study the existence of global small solutions and self-similar solutions for the generalized Davey-Stewartson system.

Furthermore,the asymptotic self-similar solutions to the cylindrical KdV equation are also given for two cases.

Global self-similar solutions for higher-order nonlinear Schrdinger equations;

Furthermore,when the equation can be reduced to Airy equation,or has elliptic function solutions after transformed by Boutroux transformation,then self-similar solutions are obtained for the KP equation in two kind of cases.

This survey paper is devoted to some new progress on the self-similar solutions for some nonlinear evolution equations.

A method for finding similarity solution of (2+1)-dimensional nonlinear partial differential equation(s);

During the split process,clusters are merged and split dynamically by using dissimilarity measure between clusters and entropy or overall similarity to evaluate the cluster quality.