Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: Coding and method for computation

Georgy L. Alfimov;  ; Pavel P. Kizin; Dmitry A. Zezyulin;

doi:10.3934/dcdsb.2017059

Gap solitons for the repulsive Gross-Pitaevskii equation with periodic potential: Coding and method for computation

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017059 ◽

2017 ◽

Vol 22 (4) ◽

pp. 1207-1229 ◽

Cited By ~ 1

Author(s):

Georgy L. Alfimov ◽

◽

Pavel P. Kizin ◽

Dmitry A. Zezyulin ◽

Keyword(s):

Periodic Potential ◽

Pitaevskii Equation ◽

Gap Solitons

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Coupled mode equations and gap solitons for the 2D Gross–Pitaevskii equation with a non-separable periodic potential

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2009.02.013 ◽

2009 ◽

Vol 238 (9-10) ◽

pp. 860-879 ◽

Cited By ~ 22

Author(s):

Tomáš Dohnal ◽

Hannes Uecker

Keyword(s):

Periodic Potential ◽

Pitaevskii Equation ◽

Coupled Mode ◽

Gap Solitons

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Erratum to “Coupled mode equations and gap solitons for the 2D Gross–Pitaevskii equation with a non-separable periodic potential” [Physica D 238 (2009) 860–879]

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2010.09.012 ◽

2011 ◽

Vol 240 (3) ◽

pp. 357-362

Author(s):

Tomáš Dohnal ◽

Hannes Uecker

Keyword(s):

Periodic Potential ◽

Pitaevskii Equation ◽

Coupled Mode ◽

Gap Solitons

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Tunable band-gap structure and gap solitons in the generalized Gross-Pitaevskii equation with a periodic potential

Scientific Reports ◽

10.1038/s41598-018-19756-6 ◽

2018 ◽

Vol 8 (1) ◽

Cited By ~ 1

Author(s):

Changming Huang ◽

Liangwei Dong

Keyword(s):

Band Gap ◽

Periodic Potential ◽

Pitaevskii Equation ◽

Gap Solitons ◽

Band Gap Structure ◽

Tunable Band Gap ◽

Gap Structure

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Coupled-Mode Equations and Gap Solitons in a Two-Dimensional Nonlinear Elliptic Problem with a Separable Periodic Potential

Journal of Nonlinear Science ◽

10.1007/s00332-008-9027-9 ◽

2008 ◽

Vol 19 (2) ◽

pp. 95-131 ◽

Cited By ~ 20

Author(s):

Tomáš Dohnal ◽

Dmitry Pelinovsky ◽

Guido Schneider

Keyword(s):

Elliptic Problem ◽

Periodic Potential ◽

Two Dimensional ◽

Nonlinear Elliptic Problem ◽

Coupled Mode ◽

Nonlinear Elliptic ◽

Gap Solitons

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Vortex families near a spectral edge in the Gross-Pitaevskii equation with a two-dimensional periodic potential

Physical Review E ◽

10.1103/physreve.85.026605 ◽

2012 ◽

Vol 85 (2) ◽

Cited By ~ 2

Author(s):

Tomáš Dohnal ◽

Dmitry Pelinovsky

Keyword(s):

Periodic Potential ◽

Pitaevskii Equation ◽

Two Dimensional ◽

Spectral Edge

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Integrability of a general Gross–Pitaevskii equation and exact solitonic solutions of a Bose–Einstein condensate in a periodic potential

Physics Letters A ◽

10.1016/j.physleta.2009.05.049 ◽

2009 ◽

Vol 373 (31) ◽

pp. 2710-2716 ◽

Cited By ~ 17

Author(s):

U. Al Khawaja

Keyword(s):

Periodic Potential ◽

Einstein Condensate ◽

Pitaevskii Equation ◽

Bose Einstein Condensate ◽

Bose Einstein

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Exact analytical solutions for 3D- Gross–Pitaevskii equation with periodic potential by using the Kudryashov method

Journal of the Egyptian Mathematical Society ◽

10.1016/j.joems.2014.11.004 ◽

2016 ◽

Vol 24 (1) ◽

pp. 49-53 ◽

Cited By ~ 5

Author(s):

Ahmad Neirameh

Keyword(s):

Analytical Solutions ◽

Periodic Potential ◽

Pitaevskii Equation ◽

Exact Analytical Solutions ◽

Kudryashov Method

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Coding of nonlinear states for the Gross–Pitaevskii equation with periodic potential

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2013.03.009 ◽

2013 ◽

Vol 254 ◽

pp. 29-45 ◽

Cited By ~ 8

Author(s):

G.L. Alfimov ◽

A.I. Avramenko

Keyword(s):

Periodic Potential ◽

Pitaevskii Equation

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Gap solitons in elongated geometries: The one-dimensional Gross-Pitaevskii equation and beyond

Physical Review A ◽

10.1103/physreva.83.053610 ◽

2011 ◽

Vol 83 (5) ◽

Cited By ~ 10

Author(s):

A. Muñoz Mateo ◽

V. Delgado ◽

Boris A. Malomed

Keyword(s):

Pitaevskii Equation ◽

One Dimensional ◽

Gap Solitons ◽

The One

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Gap solitons of a super-Tonks–Girardeau gas in a one-dimensional periodic potential

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/46/3/035301 ◽

2013 ◽

Vol 46 (3) ◽

pp. 035301 ◽

Cited By ~ 1

Author(s):

T F Xu ◽

X L Jing ◽

H-G Luo ◽

W C Wu ◽

C S Liu

Keyword(s):

Periodic Potential ◽

One Dimensional ◽

Gap Solitons

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