Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials
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Abstract
To study controlled evolution of nonautonomous matter-wave breathers and rogue waves in spinor Bose–Einstein condensates with spatiotemporal modulation, we focus on a system of three coupled Gross–Pitaevskii equations with spacetime-dependent external potentials and temporally modulated gain-loss distributions. With different external potentials and gain-loss distributions, various solutions for controlled nonautonomous matter-wave breathers and rogue waves are derived by the Darboux transformation method, such as breathers and rogue waves on arched and constant backgrounds which have the periodic and parabolic trajectories. Effects of the gain-loss distribution and linear potential on the breathers and rogue waves are studied. Nonautonomous two-breathers on the arched and constant backgrounds are also derived.
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Cuicui Ding, Qin Zhou, Siliu Xu, Houria Triki, Mohammad Mirzazadeh, Wenjun Liu. Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials[J]. Chin. Phys. Lett., 2023, 40(4): 040501. DOI: 10.1088/0256-307X/40/4/040501
Cuicui Ding, Qin Zhou, Siliu Xu, Houria Triki, Mohammad Mirzazadeh, Wenjun Liu. Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials[J]. Chin. Phys. Lett., 2023, 40(4): 040501. DOI: 10.1088/0256-307X/40/4/040501
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Cuicui Ding, Qin Zhou, Siliu Xu, Houria Triki, Mohammad Mirzazadeh, Wenjun Liu. Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials[J]. Chin. Phys. Lett., 2023, 40(4): 040501. DOI: 10.1088/0256-307X/40/4/040501
Cuicui Ding, Qin Zhou, Siliu Xu, Houria Triki, Mohammad Mirzazadeh, Wenjun Liu. Nonautonomous Breather and Rogue Wave in Spinor Bose–Einstein Condensates with Space-Time Modulated Potentials[J]. Chin. Phys. Lett., 2023, 40(4): 040501. DOI: 10.1088/0256-307X/40/4/040501
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