KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions

Journal of Differential Equations ◽

10.1016/j.jde.2013.11.007 ◽

2014 ◽

Vol 256 (4) ◽

pp. 1627-1652 ◽

Author(s):

Jianjun Liu ◽

Xiaoping Yuan

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Quasi-Linear Dynamics in Nonlinear Schrödinger Equation with Periodic Boundary Conditions

Communications in Mathematical Physics ◽

10.1007/s00220-008-0454-0 ◽

2008 ◽

Vol 281 (3) ◽

pp. 655-673 ◽

Author(s):

M. Burak Erdoğan ◽

Vadim Zharnitsky

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Nonlinear Schrodinger Equation ◽

Linear Dynamics ◽

Nonlinear Schrödinger

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Nonlinear Schrödinger equation with periodic boundary conditions

Global Solutions of Nonlinear Schrödinger Equations - Colloquium Publications ◽

10.1090/coll/046/06 ◽

1999 ◽

pp. 105-154

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Periodic Boundary Conditions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Conservation Laws for the Derivative Nonlinear Schrödinger Equation with Non-vanishing Boundary Conditions

Chinese Physics Letters ◽

10.1088/0256-307x/22/4/014 ◽

2005 ◽

Vol 22 (4) ◽

pp. 830-832 ◽

Author(s):

Chen Xiang-Jun ◽

Hou Li-Jie ◽

Lam Wa Kun

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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On the Cauchy problem for a derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Evolution Equations and Control Theory ◽

10.3934/eect.2021028 ◽

2021 ◽

Vol 0 (0) ◽

pp. 0

Author(s):

Phan Van Tin

Keyword(s):

Cauchy Problem ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

The Cauchy Problem ◽

Derivative Nonlinear Schrödinger Equation

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N-soliton solutions and perturbation theory for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/23/008 ◽

2007 ◽

Vol 40 (23) ◽

pp. 6119-6132 ◽

Author(s):

V M Lashkin

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Inverse scattering transform for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Physical Review E ◽

10.1103/physreve.69.066604 ◽

2004 ◽

Vol 69 (6) ◽

Author(s):

Xiang-Jun Chen ◽

Wa Kun Lam

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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Generation of solitons by a boxlike pulse in the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Physical Review E ◽

10.1103/physreve.71.066613 ◽

2005 ◽

Vol 71 (6) ◽

Author(s):

Volodymyr M. Lashkin

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in H12

Journal of Differential Equations ◽

10.1016/j.jde.2017.05.026 ◽

2017 ◽

Vol 263 (8) ◽

pp. 4658-4722 ◽

Author(s):

Razvan Mosincat

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Nonlinear Schrodinger Equation ◽

Well Posedness ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Two-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Physics Letters A ◽

10.1016/j.physleta.2005.12.080 ◽

2006 ◽

Vol 353 (2-3) ◽

pp. 185-189 ◽

Author(s):

Xiang-Jun Chen ◽

Hui-Li Wang ◽

Wa Kun Lam

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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N-soliton solution for the derivative nonlinear Schrödinger equation with nonvanishing boundary conditions

Journal of Physics A General Physics ◽

10.1088/0305-4470/39/13/006 ◽

2006 ◽

Vol 39 (13) ◽

pp. 3263-3274 ◽

Author(s):

Xiang-Jun Chen ◽

Jie Yang ◽

Wa Kun Lam

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Soliton Solution ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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