Multi-speed solitary waves of nonlinear Schrödinger systems: Theoretical and numerical analysis

Fanny Delebecque; Stefan le Coz; Rada M. Weishäupl

doi:10.4310/cms.2016.v14.n6.a7

Multi-speed solitary waves of nonlinear Schrödinger systems: Theoretical and numerical analysis

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n6.a7 ◽

2016 ◽

Vol 14 (6) ◽

pp. 1599-1624 ◽

Cited By ~ 2

Author(s):

Fanny Delebecque ◽

Stefan le Coz ◽

Rada M. Weishäupl

Keyword(s):

Numerical Analysis ◽

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems ◽

Theoretical And Numerical Analysis

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Solitary waves for some nonlinear Schrödinger systems

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2006.11.006 ◽

2008 ◽

Vol 25 (1) ◽

pp. 149-161 ◽

Cited By ~ 44

Author(s):

Djairo G. de Figueiredo ◽

Orlando Lopes

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems

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On existence and phase separation of solitary waves for nonlinear Schrödinger systems modelling simultaneous cooperation and competition

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-014-0764-3 ◽

2014 ◽

Vol 53 (3-4) ◽

pp. 689-718 ◽

Cited By ~ 18

Author(s):

Nicola Soave

Keyword(s):

Phase Separation ◽

Solitary Waves ◽

Nonlinear Schrödinger ◽

Cooperation And Competition ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems ◽

Systems Modelling

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Dark solitary waves in nonlocal nonlinear Schrödinger systems

Discrete & Continuous Dynamical Systems - S ◽

10.3934/dcdss.2011.4.1327 ◽

2011 ◽

Vol 4 (5) ◽

pp. 1327-1340

Author(s):

David Usero ◽

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems ◽

Nonlocal Nonlinear

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Solitary Waves for Some Nonlinear Schrödinger Systems

Djairo G. de Figueiredo - Selected Papers ◽

10.1007/978-3-319-02856-9_40 ◽

2007 ◽

pp. 647-659

Author(s):

Djairo G. de Figueiredo ◽

Orlando Lopes

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems

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Ground state solitary waves for nonlocal nonlinear Schrödinger systems

Journal of Mathematical Physics ◽

10.1063/1.5129030 ◽

2020 ◽

Vol 61 (9) ◽

pp. 091502

Author(s):

Guoqing Zhang ◽

Anjie Zuo ◽

Sanyang Liu

Keyword(s):

Solitary Waves ◽

Ground State ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems ◽

Nonlocal Nonlinear

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Existence and Stability of Vector Solitary Waves for Nonlinear Schrödinger Systems of Hartree-type with Bessel Potential

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125452 ◽

2021 ◽

pp. 125452

Author(s):

Guoqing Zhang ◽

Yanru Li ◽

Zhonghai Ding

Keyword(s):

Solitary Waves ◽

Bessel Potential ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Existence And Stability ◽

Schrödinger Systems

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Normalized solutions for nonlinear Schrödinger systems with linear couples

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125013 ◽

2021 ◽

Vol 499 (1) ◽

pp. 125013

Author(s):

Zhen Chen ◽

Wenming Zou

Keyword(s):

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems ◽

Normalized Solutions

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On the construction of orbits homoclinic to plane waves in integrable coupled nonlinear Schrödinger systems

Physics Letters A ◽

10.1016/s0375-9601(00)00018-9 ◽

2000 ◽

Vol 266 (1) ◽

pp. 24-33 ◽

Cited By ~ 18

Author(s):

M.Gregory Forest ◽

S.P. Sheu ◽

Otis C. Wright

Keyword(s):

Plane Waves ◽

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems

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Nonlinear Schrodinger systems: continuous and discrete

Scholarpedia ◽

10.4249/scholarpedia.5561 ◽

2008 ◽

Vol 3 (8) ◽

pp. 5561 ◽

Cited By ~ 8

Author(s):

Mark Ablowitz ◽

Barbara Prinari

Keyword(s):

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems

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Multiple positive normalized solutions for nonlinear Schrödinger systems

Nonlinearity ◽

10.1088/1361-6544/aab0bf ◽

2018 ◽

Vol 31 (5) ◽

pp. 2319-2345 ◽

Cited By ~ 11

Author(s):

Tianxiang Gou ◽

Louis Jeanjean

Keyword(s):

Nonlinear Schrödinger ◽

Nonlinear Schrödinger Systems ◽

Schrödinger Systems ◽

Normalized Solutions

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