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

doi:10.1088/0256-307X/37/4/040501

Chin. Phys. Lett.

2020, Vol. 37

Issue (4): 040501 DOI: 10.1088/0256-307X/37/4/040501

GENERAL

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

Yu-Han Wu^1,2,3, Chong Liu^1,2,3**, Zhan-Ying Yang^1,2,3, Wen-Li Yang^1,2,3,4

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

Cite this article:

Yu-Han Wu, Chong Liu, Zhan-Ying Yang et al 2020 Chin. Phys. Lett. 37 040501

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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.

Received: 09 January 2020 Published: 24 March 2020

PACS:	05.45.Yv	(Solitons)
	02.30.Ik	(Integrable systems)
	42.81.Dp	(Propagation, scattering, and losses; solitons)

Fund: 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), and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JQ1003).

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https://cpl.iphy.ac.cn/10.1088/0256-307X/37/4/040501 OR https://cpl.iphy.ac.cn/Y2020/V37/I4/040501

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	Yu-Han Wu
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	Wen-Li Yang

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