Interactions of localized wave structures and dynamics in the defocusing coupled nonlinear Schrödinger equations

Physical Review. E
Guoqiang ZhangYong Chen

Abstract

We investigate the defocusing coupled nonlinear Schrödinger equations from a 3×3 Lax pair. The Darboux transformations with the nonzero plane-wave solutions are presented to derive the newly localized wave solutions including dark-dark and bright-dark solitons, breather-breather solutions, and different types of new vector rogue wave solutions, as well as interactions between distinct types of localized wave solutions. Moreover, we analyze these solutions by means of parameters modulation. Finally, the perturbed wave propagations of some obtained solutions are explored by means of systematic simulations, which demonstrates that nearly stable and strongly unstable solutions. Our research results could constitute a significant contribution to explore the distinct nonlinear waves (e.g., dark solitons, breather solutions, and rogue wave solutions) dynamics of the coupled system in related fields such as nonlinear optics, plasma physics, oceanography, and Bose-Einstein condensates.

References

May 13, 1996·Physical Review Letters·J U KangN Akhmediev
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N A KostovM Salerno
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·N Lazarides, G P Tsironis
Oct 4, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V A Brazhnyi, V V Konotop
Dec 14, 2007·Nature·D R SolliB Jalali
Dec 31, 2008·Physical Review Letters·D R SolliB Jalali
Aug 15, 1991·Optics Letters·P K WaiH H Chen
Oct 2, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nail AkhmedievJ M Soto-Crespo
Mar 1, 1993·Optics Letters·Y S Kivshar, S K Turitsyn
Jan 15, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhenya YanN Akhmediev
Apr 3, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boling GuoQ P Liu
Jun 20, 2012·Scientific Reports·B KiblerJ M Dudley
Sep 26, 2012·Physical Review Letters·Fabio BaronioStefan Wabnitz
Apr 11, 2013·Optics Express·François LeoStéphane Coen
Jun 19, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J S HeA S Fokas
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Antonio Degasperis, Sara Lombardo
Aug 2, 2014·Physical Review Letters·Fabio BaronioStefan Wabnitz
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiao-Yong WenZhenya Yan
Feb 25, 2017·Nature Communications·Mengjie YuAlexander L Gaeta

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