Research Of Bipolar Solitons Dynamics

The focusing nonlinear Schrodinger equation(NLSE)is a universal model for studying solitary waves propagation in nonlinear media.The NLSE is especially important in understanding how solitons on a condensate background(SCB)appear from a small perturbation through modulation instability.In this paper,we study theoretically the first-order and second-order soliton solutions of the NLSE in presence of a condensate by using the dressing method.We found a class of new solitons-bipolar solitons through summarizing simulation results.The bipolar solitons possess elliptically polarized characteristic with the choice of specific parameters in the NLSE solutions.We generalize the formation mechanism of the bipolar solitons and show how it can be used for wave profile compression down to the extremely short duration.We also demonstrate that the bipolar solitons can be considered to provide a new prototype to model freak wave dynamics.Our results extend previous studies in this area of the freak wave and play an important role in optics and hydromechanics.