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

A. Pomponio

doi:10.1063/1.3486069

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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Quantum mechanical ground states, nonlinear Schrodinger equations and linked cluster expansions

Journal of Physics A General Physics ◽

10.1088/0305-4470/14/6/009 ◽

1981 ◽

Vol 14 (6) ◽

pp. 1291-1305 ◽

Cited By ~ 8

Author(s):

L P Kadanoff ◽

M Kohmoto

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Quantum Mechanical ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Cluster Expansions ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Mass concentration and local uniqueness of ground states for $$L^2$$ L 2 -subcritical nonlinear Schrödinger equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1077-3 ◽

2019 ◽

Vol 70 (1) ◽

Author(s):

Shuai Li ◽

Xincai Zhu

Keyword(s):

Mass Concentration ◽

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Local Uniqueness ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Ground states of nonlinear Schrödinger equations with potentials

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2006.01.003 ◽

2006 ◽

Vol 23 (6) ◽

pp. 829-837 ◽

Cited By ~ 90

Author(s):

Yongqing Li ◽

Zhi-Qiang Wang ◽

Jing Zeng

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Orbital stability and energy estimate of ground states of saturable nonlinear Schrödinger equations with intensity functions in R2

Journal of Differential Equations ◽

10.1016/j.jde.2017.05.030 ◽

2017 ◽

Vol 263 (8) ◽

pp. 4750-4786 ◽

Cited By ~ 4

Author(s):

Tai-Chia Lin ◽

Xiaoming Wang ◽

Zhi-Qiang Wang

Keyword(s):

Energy Estimate ◽

Ground States ◽

Orbital Stability ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Intensity Functions

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Global solutions and stable ground states of nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/0167-2789(91)90087-p ◽

1991 ◽

Vol 48 (2-3) ◽

pp. 259-272 ◽

Cited By ~ 3

Author(s):

Joachim Stubbe

Keyword(s):

Ground States ◽

Global Solutions ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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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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Variational problems associated with a system of nonlinear Schrödinger equations with three wave interaction

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2021100 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Kazuhiro Kurata ◽

Yuki Osada

Keyword(s):

Wave Interaction ◽

Variational Problems ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Uniqueness and stability of ground states for some nonlinear Schrödinger equations

Journal of the European Mathematical Society ◽

10.4171/jems/60 ◽

2006 ◽

pp. 399-414 ◽

Cited By ~ 5

Author(s):

Charles Stuart

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Bifurcation from Semitrivial Standing Waves and Ground States for a System of Nonlinear Schrödinger Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/110823808 ◽

2012 ◽

Vol 44 (1) ◽

pp. 206-223 ◽

Cited By ~ 4

Author(s):

Mathieu Colin ◽

Masahito Ohta

Keyword(s):

Standing Waves ◽

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Modulational Stability of Ground States of Nonlinear Schrödinger Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/0516034 ◽

1985 ◽

Vol 16 (3) ◽

pp. 472-491 ◽

Cited By ~ 350

Author(s):

Michael I. Weinstein

Keyword(s):

Ground States ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Modulational Stability

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