Energy transfer model and large periodic boundary value problem for the quintic nonlinear Schrödinger equations

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020283 ◽

2020 ◽

Vol 40 (11) ◽

pp. 6351-6378

Author(s):

Hideo Takaoka ◽

Keyword(s):

Energy Transfer ◽

Boundary Value Problem ◽

Periodic Boundary ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Periodic Boundary Value Problem ◽

Transfer Model ◽

Schrödinger Equations ◽

Nonlinear Schrodinger Equations ◽

Energy Transfer Model

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Energy transfer model for the derivative nonlinear Schrödinger equations on the torus

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017253 ◽

2017 ◽

Vol 37 (11) ◽

pp. 5819-5841

Author(s):

Hideo Takaoka ◽

Keyword(s):

Energy Transfer ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Transfer Model ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Energy Transfer Model

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Inhomogeneous Dirichlet-boundary value problem for nonlinear Schrödinger equations with a power nonlinearity on the upper half-plane

Nonlinear Analysis ◽

10.1016/j.na.2019.05.007 ◽

2019 ◽

Vol 187 ◽

pp. 279-306 ◽

Author(s):

Nakao Hayashi ◽

Elena I. Kaikina

Keyword(s):

Boundary Value Problem ◽

Dirichlet Boundary ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Dirichlet Boundary Value Problem ◽

Power Nonlinearity ◽

Nonlinear Schrodinger Equations ◽

Upper Half Plane

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Inhomogeneous Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Journal of Differential Equations ◽

10.1016/j.jde.2018.07.063 ◽

2019 ◽

Vol 266 (2-3) ◽

pp. 1121-1152 ◽

Author(s):

Liliana Esquivel ◽

Nakao Hayashi ◽

Elena I. Kaikina

Keyword(s):

Boundary Value Problem ◽

Dirichlet Boundary ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Dirichlet Boundary Value Problem ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schrödinger equations via factorization techniques

Journal of Mathematical Physics ◽

10.1063/1.5083078 ◽

2019 ◽

Vol 60 (9) ◽

pp. 091507

Author(s):

Liliana Esquivel ◽

Nakao Hayashi ◽

Elena I. Kaikina

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Neumann Boundary ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Neumann Boundary Value Problem ◽

Nonlinear Schrodinger Equations

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An Inhomogeneous Boundary Value Problem for Nonlinear Schrödinger Equations

Journal of Differential Equations ◽

10.1006/jdeq.2000.3871 ◽

2001 ◽

Vol 173 (1) ◽

pp. 79-91 ◽

Author(s):

Walter Strauss ◽

Charles Bu

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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EXISTENCE AND NONEXISTENCE FOR THE INITIAL BOUNDARY VALUE PROBLEM OF ONE CLASS OF SYSTEM OF MULTIDIMENSIONAL NONLINEAR SCHRÖDINGER EQUATIONS WITH OPERATOR AND THEIR SOLITON SOLUTIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30330-8 ◽

1989 ◽

Vol 9 (1) ◽

pp. 45-56 ◽

Author(s):

Boling Guo

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Soliton Solutions ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrodinger Equations ◽

Existence And Nonexistence ◽

Initial Boundary Value

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On an initial-boundary value problem for a class of nonlinear schrödinger equations

Communications in Partial Differential Equations ◽

10.1080/03605309608821203 ◽

1996 ◽

Vol 21 (5-6) ◽

pp. 687-692

Author(s):

Zhang Jian

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Schrödinger Equations ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Initial Boundary Value

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Initial-boundary value problem of one class of nonlinear Schrödinger equations described in molecular crystals

Applied Mathematics and Mechanics ◽

10.1007/s10483-008-0201-x ◽

2008 ◽

Vol 29 (2) ◽

pp. 139-144

Author(s):

Shao-mei Fang ◽

Bo-ling Guo

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Molecular Crystals ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations ◽

Initial Boundary Value

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Dirichlet-boundary value problem for one dimensional nonlinear Schrödinger equations with large initial and boundary data

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s00030-020-0618-y ◽

2020 ◽

Vol 27 (2) ◽

Author(s):

Nakao Hayashi ◽

Elena I. Kaikina ◽

Takayoshi Ogawa

Keyword(s):

Boundary Value Problem ◽

Boundary Data ◽

Dirichlet Boundary ◽

Boundary Value ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Dirichlet Boundary Value Problem ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Nonlinear Schrodinger Equations

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On global solutions to the initial–boundary value problem for the nonlinear Schrödinger equations in exterior domains

Communications in Partial Differential Equations ◽

10.1080/03605309108820784 ◽

1991 ◽

Vol 16 (6-7) ◽

pp. 885-907 ◽

Author(s):

M. Tsutsumi

Keyword(s):

Boundary Value Problem ◽

Boundary Value ◽

Global Solutions ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Nonlinear Schrödinger Equations ◽

Schrödinger Equations ◽

Exterior Domains ◽

Nonlinear Schrodinger Equations ◽

Initial Boundary Value

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