Instability of Standing Waves for a System of Nonlinear Schrödinger Equations with Three-Wave Interaction

Mathieu Colin; Thierry Colin; Masahito Ohta

doi:10.1619/fesi.52.371

Instability of Standing Waves for a System of Nonlinear Schrödinger Equations with Three-Wave Interaction

Funkcialaj Ekvacioj ◽

10.1619/fesi.52.371 ◽

2009 ◽

Vol 52 (3) ◽

pp. 371-380 ◽

Cited By ~ 9

Author(s):

Mathieu Colin ◽

Thierry Colin ◽

Masahito Ohta

Keyword(s):

Standing Waves ◽

Wave Interaction ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Orbital stability of standing waves for a system of nonlinear Schrödinger equations with three wave interaction

Nonlinear Analysis ◽

10.1016/j.na.2017.10.013 ◽

2018 ◽

Vol 167 ◽

pp. 1-20 ◽

Cited By ~ 5

Author(s):

Alex H. Ardila

Keyword(s):

Standing Waves ◽

Orbital Stability ◽

Wave Interaction ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Standing waves for discrete nonlinear Schrödinger equations: sign-changing nonlinearities

Applicable Analysis ◽

10.1080/00036811.2011.609987 ◽

2011 ◽

Vol 92 (2) ◽

pp. 308-317 ◽

Cited By ~ 8

Author(s):

Alexander Pankov

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Stability of standing waves for nonlinear Schrödinger equations with unbounded potentials

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/pl00001512 ◽

2000 ◽

Vol 51 (3) ◽

pp. 498-503 ◽

Cited By ~ 46

Author(s):

J. Zhang

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations

Nonlinearity ◽

10.1088/0951-7715/28/4/927 ◽

2015 ◽

Vol 28 (4) ◽

pp. 927-949 ◽

Cited By ~ 10

Author(s):

Guoyuan Chen

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Stability of Standing Waves for Nonlinear Schrödinger Equations with Inhomogeneous Nonlinearities

Annales Henri Poincaré ◽

10.1007/s00023-005-0236-6 ◽

2005 ◽

Vol 6 (6) ◽

pp. 1157-1177 ◽

Cited By ~ 17

Author(s):

Anne De Bouard ◽

Reika Fukuizumi

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations

Journal of Differential Equations ◽

10.1016/j.jde.2004.05.003 ◽

2004 ◽

Vol 203 (2) ◽

pp. 292-312 ◽

Cited By ~ 29

Author(s):

Daomin Cao ◽

Ezzat S Noussair

Keyword(s):

Critical Frequency ◽

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Erratum: Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-008-0178-5 ◽

2008 ◽

Vol 190 (3) ◽

pp. 549-551 ◽

Cited By ~ 9

Author(s):

Jaeyoung Byeon ◽

Louis Jeanjean

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

General Nonlinearity

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Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term

manuscripta mathematica ◽

10.1007/s00229-013-0627-9 ◽

2013 ◽

Vol 143 (1-2) ◽

pp. 221-237 ◽

Cited By ~ 13

Author(s):

Masataka Shibata

Keyword(s):

Nonlinear Term ◽

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Standing waves for periodic discrete nonlinear Schrödinger equations with asymptotically linear terms

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0069-7 ◽

2011 ◽

Vol 28 (2) ◽

pp. 351-360 ◽

Cited By ~ 3

Author(s):

Wen-xiong Chen ◽

Min-bo Yang

Keyword(s):

Standing Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Asymptotically Linear ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Discrete Nonlinear Schrödinger Equations

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Ground states for a system of nonlinear Schrödinger equations with three wave interaction

Journal of Mathematical Physics ◽

10.1063/1.3486069 ◽

2010 ◽

Vol 51 (9) ◽

pp. 093513 ◽

Cited By ~ 6

Author(s):

A. Pomponio

Keyword(s):

Ground States ◽

Wave Interaction ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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