Vector rogue waves in binary mixtures of Bose-Einstein condensates

Yu V. Bludov; V. V. Konotop; N. Akhmediev

doi:10.1140/epjst/e2010-01247-6

Vector rogue waves in binary mixtures of Bose-Einstein condensates

Yu V. Bludov, V. V. Konotop, N. Akhmediev

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

203 Citations (Scopus)

Abstract

We study numerically rogue waves in the two-component Bose-Einstein condensates which are described by the coupled set of two Gross-Pitaevskii equations with variable scattering lengths. We show that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions. We present the solutions for the combinations of these coefficients that admit the existence of rogue waves.

Original language	English
Pages (from-to)	169-180
Number of pages	12
Journal	European Physical Journal: Special Topics
Volume	185
Issue number	1
DOIs	https://doi.org/10.1140/epjst/e2010-01247-6
Publication status	Published - 2010

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title = "Vector rogue waves in binary mixtures of Bose-Einstein condensates",

abstract = "We study numerically rogue waves in the two-component Bose-Einstein condensates which are described by the coupled set of two Gross-Pitaevskii equations with variable scattering lengths. We show that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions. We present the solutions for the combinations of these coefficients that admit the existence of rogue waves.",

author = "Bludov, {Yu V.} and Konotop, {V. V.} and N. Akhmediev",

year = "2010",

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AU - Konotop, V. V.

AU - Akhmediev, N.

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N2 - We study numerically rogue waves in the two-component Bose-Einstein condensates which are described by the coupled set of two Gross-Pitaevskii equations with variable scattering lengths. We show that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions. We present the solutions for the combinations of these coefficients that admit the existence of rogue waves.

AB - We study numerically rogue waves in the two-component Bose-Einstein condensates which are described by the coupled set of two Gross-Pitaevskii equations with variable scattering lengths. We show that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions. We present the solutions for the combinations of these coefficients that admit the existence of rogue waves.

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U2 - 10.1140/epjst/e2010-01247-6

DO - 10.1140/epjst/e2010-01247-6

M3 - Article

SN - 1951-6355

VL - 185

SP - 169

EP - 180

JO - European Physical Journal: Special Topics

JF - European Physical Journal: Special Topics

IS - 1

ER -

Vector rogue waves in binary mixtures of Bose-Einstein condensates

Abstract

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