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

Phan Van Tin

doi:10.1063/5.0049337

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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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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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 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 ◽

Cited By ~ 32

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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The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2010.11.004 ◽

2011 ◽

Vol 240 (6) ◽

pp. 512-525 ◽

Cited By ~ 9

Author(s):

Jonatan Lenells

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Global Relation ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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The derivative nonlinear Schrödinger equation on the half line

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2018.03.006 ◽

2018 ◽

Vol 35 (7) ◽

pp. 1947-1973 ◽

Cited By ~ 2

Author(s):

M.B. Erdoğan ◽

T.B. Gürel ◽

N. Tzirakis

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation

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Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line

Nonlinearity ◽

10.1088/1361-6544/aa84c6 ◽

2017 ◽

Vol 30 (11) ◽

pp. 4141-4172 ◽

Cited By ~ 9

Author(s):

Lynnyngs Kelly Arruda ◽

Jonatan Lenells

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Time Asymptotics ◽

Long Time ◽

Derivative Nonlinear Schrödinger Equation ◽

Long Time Asymptotics

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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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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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The vector derivative nonlinear Schrödinger equation on the half-line

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxx039 ◽

2017 ◽

Vol 83 (1) ◽

pp. 148-173 ◽

Cited By ~ 3

Author(s):

Huan Liu ◽

Xianguo Geng

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Half Line ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Vector Derivative

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Solving localized wave solutions of the derivative nonlinear Schrödinger equation using an improved PINN method

Nonlinear Dynamics ◽

10.1007/s11071-021-06554-5 ◽

2021 ◽

Author(s):

Juncai Pu ◽

Jun Li ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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