TY - JOUR
T1 - Peregrine Soliton Management of Breathers in Two Coupled Gross–Pitaevskii Equations with External Potential
AU - Chaachoua Sameut, H.
AU - Pattu, Sakthivinayagam
AU - Al Khawaja, U.
AU - Benarous, M.
AU - Belkroukra, H.
N1 - Funding Information:
The authors HCS, MB and HB acknowledge the support provided by Hassiba Benbouali University of Chlef and the Ministry of Higher Education and Scientific Research of Algeria through the grants HB00L02UN020120180002/2018-2019. The authors PSV and UAK acknowledge the support of UAE University through the grants UPAR(7)-2015, UPAR(4)-2016, and UPAR(6)-2017. PSV wishes to extend his gratitute to the Principal of PSG College of Arts and Sciences, Coimbatore, Tamilnadu, India for her continuous support, motivation and facilities.
Publisher Copyright:
© 2020, Allerton Press, Inc.
PY - 2020/7/1
Y1 - 2020/7/1
N2 - Abstract: By solving analytically two 1D coupled Gross–Pitaevskii equations with a time-dependent harmonic trap, we find Peregrine solutions that can be effectively controlled by modulating the external potential frequency. Indeed, one observes the onset of instability in the dynamical system as the frequency is varied. This leads to the possibility of stabilizing the Peregrine solitons.
AB - Abstract: By solving analytically two 1D coupled Gross–Pitaevskii equations with a time-dependent harmonic trap, we find Peregrine solutions that can be effectively controlled by modulating the external potential frequency. Indeed, one observes the onset of instability in the dynamical system as the frequency is varied. This leads to the possibility of stabilizing the Peregrine solitons.
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U2 - 10.3103/S1541308X20030036
DO - 10.3103/S1541308X20030036
M3 - Article
AN - SCOPUS:85093083676
SN - 1541-308X
VL - 28
SP - 305
EP - 312
JO - Physics of Wave Phenomena
JF - Physics of Wave Phenomena
IS - 3
ER -