PATTERN-FORMATION AND COMPETITION IN THE REGIME OF THE CONSERVED CUBIC-QUINTIC NONLINEAR SCHRODINGER-EQUATION

In this letter, the pattern formation, pattern competition and spatiot emporal chaos are first investigated in the regime of cubic-quintic no nlinear Schrodinger equation in a near-integrable Hamiltonian continuu m system using a few important representative manifolds in phase space . We find that the regular pattern competition can exist in some regio ns of the controlled parameters, and the spatiotemporal chaos may resu lt hom stochastic competition of the patterns. This conclusion may be generalized to the systems which have the saddle structure.