The nonlinear Schrödinger equation on the half line

Journal of Mathematical Physics ◽

10.1063/1.532738 ◽

1999 ◽

Vol 40 (6) ◽

pp. 2949-2970 ◽

Author(s):

Mario Gattobigio ◽

Antonio Liguori ◽

Mihail Mintchev

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger

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Asymptotics and existence of bounded solutions of a nonlinear Schrödinger equation on the half-line

Differential Equations ◽

10.1134/s0012266111050041 ◽

2011 ◽

Vol 47 (5) ◽

pp. 650-655

Author(s):

E. M. Mukhamadiev ◽

A. N. Naimov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Bounded Solutions ◽

Nonlinear Schrödinger

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EXPLICIT SOLITON ASYMPTOTICS FOR THE NONLINEAR SCHRÖDINGER EQUATION ON THE HALF-LINE

Journal of Nonlinear Mathematical Physics ◽

10.1142/s1402925110000994 ◽

2010 ◽

Vol 17 (4) ◽

pp. 445-452 ◽

Author(s):

K. KALIMERIS

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger

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The derivative nonlinear Schrödinger equation on the half-line

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2008.07.005 ◽

2008 ◽

Vol 237 (23) ◽

pp. 3008-3019 ◽

Author(s):

Jonatan Lenells

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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An integrable generalization of the nonlinear Schrödinger equation on the half-line and solitons

Inverse Problems ◽

10.1088/0266-5611/25/11/115006 ◽

2009 ◽

Vol 25 (11) ◽

pp. 115006 ◽

Author(s):

J Lenells ◽

A S Fokas

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Integrable Generalization

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Nonlinear Schrödinger equation with Landau damping on a half-line

Differential Equations & Applications ◽

10.7153/dea-07-13 ◽

2015 ◽

pp. 221-244 ◽

Author(s):

Liliana Esquivel

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Landau Damping ◽

Half Line ◽

Nonlinear Schrödinger

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The nonlinear Schrödinger equation on the half-line with a Robin boundary condition

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00589-y ◽

2021 ◽

Vol 11 (4) ◽

Author(s):

A. Alexandrou Himonas ◽

Dionyssios Mantzavinos

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

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Dressing the boundary: On soliton solutions of the nonlinear Schrödinger equation on the half‐line

Studies in Applied Mathematics ◽

10.1111/sapm.12248 ◽

2019 ◽

Vol 142 (2) ◽

pp. 190-212

Author(s):

Cheng Zhang

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger

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On bounded solutions of a nonlinear Schrödinger equation on the half-line

Differential Equations ◽

10.1134/s0012266111010058 ◽

2011 ◽

Vol 47 (1) ◽

pp. 38-49 ◽

Author(s):

E. M. Mukhamadiev ◽

A. N. Naimov

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Bounded Solutions ◽

Nonlinear Schrödinger

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Analysis of the Global Relation for the Nonlinear Schrödinger Equation on the Half-line

Letters in Mathematical Physics ◽

10.1023/b:math.0000010711.66380.77 ◽

2003 ◽

Vol 65 (3) ◽

pp. 199-212 ◽

Author(s):

A. Boutet de Monvel ◽

A. S. Fokas ◽

D. Shepelsky

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Global Relation ◽

Nonlinear Schrödinger

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Riemann-Hilbert problem for a fourth-order dispersive nonlinear Schrödinger equation on the half-line

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124078 ◽

2020 ◽

Vol 488 (2) ◽

pp. 124078

Author(s):

Yu-Feng Wang ◽

Bo-Ling Guo ◽

Nan Liu

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Hilbert Problem ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Riemann Hilbert Problem

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