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 ◽

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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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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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 ◽

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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 ◽

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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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 ◽

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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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 ◽

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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The data-driven localized wave solutions of the derivative nonlinear Schrödinger equation by using improved PINN approach

Wave Motion ◽

10.1016/j.wavemoti.2021.102823 ◽

2021 ◽

pp. 102823

Author(s):

Juncai Pu ◽

Weiqi Peng ◽

Yong Chen

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Data Driven ◽

Nonlinear Schrödinger ◽

Wave Solutions ◽

Derivative Nonlinear Schrödinger Equation

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Remarks on blow-up criteria for the derivative nonlinear Schrödinger equation under the optimal threshold setting

Journal of Differential Equations ◽

10.1016/j.jde.2021.05.003 ◽

2021 ◽

Vol 291 ◽

pp. 90-109

Author(s):

Hideo Takaoka

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Blow Up ◽

Nonlinear Schrodinger Equation ◽

Optimal Threshold ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Threshold Setting

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Triple-pole soliton solutions of the derivative nonlinear Schrödinger equation via inverse scattering transform

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107741 ◽

2021 ◽

pp. 107741

Author(s):

Nan Liu ◽

Zuxing Xuan ◽

Jinyi Sun

Keyword(s):

Schrödinger Equation ◽

Inverse Scattering ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Soliton Solutions ◽

Inverse Scattering Transform ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Scattering Transform ◽

Derivative Nonlinear Schrödinger Equation

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Direct perturbation theory for solitons of the derivative nonlinear Schrödinger equation and the modified nonlinear Schrödinger equation

Physical Review E ◽

10.1103/physreve.65.066608 ◽

2002 ◽

Vol 65 (6) ◽

Author(s):

Xiang-Jun Chen ◽

Jianke Yang

Keyword(s):

Perturbation Theory ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Direct Perturbation ◽

Derivative Nonlinear Schrödinger Equation

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