1School of Physics, Northwest University, Xi'an 710127 2Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127 3NSFC-SPTP Peng Huanwu Center for Fundamental Theory, Xi'an 710127 4Institute of Modern Physics, Northwest University, Xi'an 710127
Abstract：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 Schrödinger 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 super-regular 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.
2020, Vol. 37 
