Classification of asymptotic profiles for nonlinear Schrödinger equations with small initial data

Advances in Theoretical and Mathematical Physics ◽

10.4310/atmp.2002.v6.n1.a2 ◽

2002 ◽

Vol 6 (1) ◽

pp. 107-139 ◽

Author(s):

Tai-Peng Tsai ◽

Horng-Tzer Yau

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Small Initial Data ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)82007-6 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Author(s):

Jianke Yang

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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The derivation of the conservation law for defocusing nonlinear Schrödinger equations with non-vanishing initial data at infinity

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.03.055 ◽

2014 ◽

Vol 417 (2) ◽

pp. 580-600

Author(s):

Hayato Miyazaki

Keyword(s):

Initial Data ◽

Conservation Law ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the global well-posedness for the nonlinear Schrödinger equations with large initial data of infinite norm

Nonlinear Analysis ◽

10.1016/j.na.2010.10.003 ◽

2011 ◽

Vol 74 (4) ◽

pp. 1304-1319 ◽

Author(s):

Ryosuke Hyakuna ◽

Takamasa Tanaka ◽

Masayoshi Tsutsumi

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Large Initial Data ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

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Classification of the solitary waves in coupled nonlinear Schrödinger equations

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(97)00035-3 ◽

1997 ◽

Vol 108 (1-2) ◽

pp. 92-112 ◽

Author(s):

Y Jianke

Keyword(s):

Solitary Waves ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Coupled Nonlinear Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Coupled Nonlinear Schrodinger Equations

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Symmetry classification of variable coefficient cubic-quintic nonlinear Schrödinger equations

Journal of Mathematical Physics ◽

10.1063/1.4789543 ◽

2013 ◽

Vol 54 (2) ◽

pp. 023502 ◽

Author(s):

C. Özemir ◽

F. Güngör

Keyword(s):

Variable Coefficient ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Symmetry Classification ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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The Interctitical Defocusing Nonlinear Schrodinger Equations with Radial Initial Data in Dimensions Four and Higher

Analysis in Theory and Applications ◽

10.4208/ata.oa-0006 ◽

2019 ◽

Vol 35 (2) ◽

pp. 205-234

Author(s):

Chuanwei Gao

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Global existence for the defocusing nonlinear Schrödinger equations with limit periodic initial data

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2015.14.1563 ◽

2015 ◽

Vol 14 (4) ◽

pp. 1563-1580 ◽

Author(s):

Tadahiro Oh ◽

Keyword(s):

Initial Data ◽

Global Existence ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Periodic Initial Data

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Well-Posedness for a System of Quadratic Derivative Nonlinear Schrödinger Equations with Radial Initial Data

Annales Henri Poincaré ◽

10.1007/s00023-020-00931-3 ◽

2020 ◽

Vol 21 (8) ◽

pp. 2611-2636

Author(s):

Hiroyuki Hirayama ◽

Shinya Kinoshita ◽

Mamoru Okamoto

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Well Posedness ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On the global wellposedness for the nonlinear Schrödinger equations with L p -large initial data

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-011-0097-2 ◽

2011 ◽

Vol 18 (3) ◽

pp. 309-327 ◽

Author(s):

Ryosuke Hyakuna ◽

Masayoshi Tsutsumi

Keyword(s):

Initial Data ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Large Initial Data ◽

Global Wellposedness ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On preliminary symmetry classification of nonlinear Schrödinger equations with some applications to Doebner-Goldin models

Reports on Mathematical Physics ◽

10.1016/s0034-4877(00)89037-0 ◽

2000 ◽

Vol 45 (2) ◽

pp. 273-291 ◽

Author(s):

Renat Zhdanov ◽

Olena Roman

Keyword(s):

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Symmetry Classification ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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