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 b...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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.11705145,11947301.11434013,and 11425522)the Major Basic Research Program of Natural Science of Shaanxi Province(Grant Nos.2017KCT-12 and 2017ZDJC-32)the Natural Science Basic Research Plan in Shaanxi Province of China(Grant No.2018JQ1003).
文摘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.