Breather Interaction Properties Induced by Self-Steepening and Space-Time Correction

We study the properties of breather interactions in nonlinear Kerr media with self-steepening and space-time correction and with either self-focusing or self-defocusing nonlinearity,and present a new family of exact breather solutions via the Darboux transformation with a special-designed quadratic spectral parameter.In contrast to the previous results of the nonlinear Schrodinger equation(NLSE)hierarchy,we show that the relative phase of colliding breathers has a significant effect on the collision manifestation.In particular,only the out-of-phase interactions can generate small amplitude waves at the collision center,which are analogous to the NLSE superregular breathers.Our results will deepen our understanding of the properties of breather interactions and they will offer the possibility of experimental observations of super-regular breather dynamics in systems with self-steepening and space-time correction.