Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

Spyridon Kamvissis; Dmitry Shepelsky; Lech Zielinski

doi:10.1080/14029251.2015.1079428

Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation

Journal of Nonlinear Mathematical Physics ◽

10.1080/14029251.2015.1079428 ◽

2015 ◽

Vol 22 (3) ◽

pp. 448-473 ◽

Cited By ~ 2

Author(s):

Spyridon Kamvissis ◽

Dmitry Shepelsky ◽

Lech Zielinski

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Robin Boundary

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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 ◽

Robin Boundary

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On the derivative nonlinear Schrödinger equation on the half line with Robin boundary condition

Journal of Mathematical Physics ◽

10.1063/5.0049337 ◽

2021 ◽

Vol 62 (8) ◽

pp. 081502

Author(s):

Phan Van Tin

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Robin Boundary

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On the nonlinear Schrödinger equation with a boundary condition involving a time derivative of the field

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8121/abeb51 ◽

2021 ◽

Author(s):

Baoqiang Xia

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Time Derivative ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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Inverse Scattering Transform for the Focusing Nonlinear Schrödinger Equation with a One-Sided Non-Zero Boundary Condition

Algebraic and Analytic Aspects of Integrable Systems and Painlevé Equations - Contemporary Mathematics ◽

10.1090/conm/651/13035 ◽

2015 ◽

pp. 157-194 ◽

Cited By ~ 8

Author(s):

B. Prinari ◽

F. Vitale

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform

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Blow-up of solutions for the nonlinear Schrödinger equation with quartic potential and periodic boundary condition

Lecture Notes in Mathematics - Functional-Analytic Methods for Partial Differential Equations ◽

10.1007/bfb0084910 ◽

1990 ◽

pp. 236-251 ◽

Cited By ~ 4

Author(s):

Takayoshi Ogawa ◽

Yoshio Tsutsumi

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quartic Potential

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A new way for decreasing of amplitude of wave reflected from artificial boundary condition for 1D nonlinear Schrödinger equation

Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain) ◽

10.3934/proc.2015.1070 ◽

2015 ◽

Author(s):

Evgeny M. Trykin ◽

Vyacheslav A. Trofimov

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Nonlinear Schrödinger

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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 ◽

Cited By ~ 5

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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THE FOCUSING NONLINEAR SCHRÖDINGER EQUATION ON THE QUARTER PLANE WITH TIME-PERIODIC BOUNDARY CONDITION: A RIEMANN–HILBERT APPROACH

Journal of the Institute of Mathematics of Jussieu ◽

10.1017/s1474748007000151 ◽

2007 ◽

Vol 6 (04) ◽

pp. 579 ◽

Cited By ~ 22

Author(s):

Anne Boutet de Monvel ◽

Vladimir Kotlyarov

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Quarter Plane ◽

Time Periodic

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On the Nonlinear Schrödinger Equation on the Half Line with Homogeneous Robin Boundary Conditions

Studies in Applied Mathematics ◽

10.1111/j.1467-9590.2012.00553.x ◽

2012 ◽

Vol 129 (3) ◽

pp. 249-271 ◽

Cited By ~ 19

Author(s):

G. Biondini ◽

A. Bui

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Robin Boundary Conditions ◽

Nonlinear Schrödinger ◽

Robin Boundary

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Fast evaluation of exact transparent boundary condition for one-dimensional cubic nonlinear Schrödinger equation

Frontiers of Mathematics in China ◽

10.1007/s11464-010-0058-9 ◽

2010 ◽

Vol 5 (3) ◽

pp. 589-606 ◽

Cited By ~ 2

Author(s):

Chunxiong Zheng

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Fast Evaluation ◽

One Dimensional ◽

Transparent Boundary Condition ◽

Nonlinear Schrödinger ◽

Cubic Nonlinear Schrödinger Equation

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