Existence of global attractor for one-dimensional weakly damped nonlinear Schrödinger equation with Dirac interaction and artificial boundary condition in half-line

Schrodinger Equation ◽

Half Line ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

One Dimensional

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

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

10.3934/proc.2015.1070 ◽

2015 ◽

Author(s):

Evgeny M. Trykin ◽

Vyacheslav A. Trofimov

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Artificial Boundary ◽

Artificial Boundary Condition ◽

Nonlinear Schrödinger

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 ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Half Line ◽

Nonlinear Schrödinger ◽

Robin Boundary

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 ◽

Schrodinger Equation ◽

Robin Boundary Condition ◽

Half Line ◽

Nonlinear Schrödinger ◽

Derivative Nonlinear Schrödinger Equation ◽

Robin Boundary

Frozen Gaussian Approximation-Based Artificial Boundary Conditions for One-Dimensional Nonlinear Schrödinger Equation in the Semiclassical Regime

Journal of Scientific Computing ◽

10.1007/s10915-017-0606-5 ◽

2017 ◽

Vol 75 (3) ◽

pp. 1701-1720 ◽

Cited By ~ 3

Author(s):

Ricardo Delgadillo ◽

Xu Yang ◽

Jiwei Zhang

Keyword(s):

Schrödinger Equation ◽

Boundary Conditions ◽

Schrodinger Equation ◽

Gaussian Approximation ◽

Artificial Boundary ◽

One Dimensional ◽

Artificial Boundary Conditions ◽

Semiclassical Regime

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 ◽

Schrodinger Equation ◽

Cubic Nonlinear Schrödinger Equation

Fast Evaluation ◽

One Dimensional ◽

Transparent Boundary Condition ◽

Nonlinear Schrödinger ◽

Finite dimensional global attractor for a semi-discrete nonlinear Schrödinger equation with a point defect

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.02.096 ◽

2011 ◽

Vol 217 (19) ◽

pp. 7818-7830 ◽

Cited By ~ 2

Author(s):

Emna Ezzoug ◽

Wided Kechiche ◽

Ezzeddine Zahrouni

Keyword(s):

Schrödinger Equation ◽

Point Defect ◽

Global Attractor ◽

Schrodinger Equation ◽

Discrete Nonlinear Schrödinger Equation ◽

Nonlinear Schrödinger ◽

Finite Dimensional

Bifurcation structures and dominant modes near relative equilibria in the one-dimensional discrete nonlinear Schrödinger equation

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2009.01.001 ◽

2009 ◽

Vol 238 (6) ◽

pp. 687-698 ◽

Cited By ~ 11

Author(s):

C.L. Pando L. ◽

E.J. Doedel

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

Relative Equilibria ◽

Discrete Nonlinear Schrödinger Equation ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

The One ◽

Bifurcation Structures

NATO ASI Series - Future Directions of Nonlinear Dynamics in Physical and Biological Systems ◽

A Collective Coordinate Approach to the One-Dimensional Nonlinear Schrödinger Equation with Spatial Periodic Potentials

10.1007/978-1-4899-1609-9_14 ◽

1993 ◽

pp. 85-96

Author(s):

A. R. Bishop ◽

Rainer Scharf

Keyword(s):

Schrödinger Equation ◽

Schrodinger Equation ◽

One Dimensional ◽

Nonlinear Schrödinger ◽

Periodic Potentials ◽

Collective Coordinate ◽

The One

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 ◽

Schrodinger Equation ◽

Time Derivative ◽

Nonlinear Schrödinger

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 ◽

Schrodinger Equation ◽

Half Line ◽

Bounded Solutions ◽

Nonlinear Schrödinger