Peregrine Soliton Management of Breathers in Two Coupled Gross–Pitaevskii Equations with External Potential

H. Chaachoua Sameut; Sakthivinayagam Pattu; U. Al Khawaja; M. Benarous; H. Belkroukra

doi:10.3103/S1541308X20030036

Peregrine Soliton Management of Breathers in Two Coupled Gross–Pitaevskii Equations with External Potential

H. Chaachoua Sameut
, Sakthivinayagam Pattu
, U. Al Khawaja
, M. Benarous
, H. Belkroukra

Department of Physics

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	305-312
Number of pages	8
Journal	Physics of Wave Phenomena
Volume	28
Issue number	3
DOIs	https://doi.org/10.3103/S1541308X20030036
Publication status	Published - Jul 1 2020

ASJC Scopus subject areas

General Physics and Astronomy

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10.3103/S1541308X20030036

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abstract = "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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AU - Chaachoua Sameut, H.

AU - Pattu, Sakthivinayagam

AU - Al Khawaja, U.

AU - Benarous, M.

AU - Belkroukra, H.

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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Peregrine Soliton Management of Breathers in Two Coupled Gross–Pitaevskii Equations with External Potential

Abstract

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