Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition

Periodic Boundary ◽

Long Time ◽

Derivative Nonlinear Schrödinger Equation ◽

Time Periodic ◽

Time Asymptotic Behavior

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

Representation formula for traveling waves to a derivative nonlinear Schrödinger equation with the periodic boundary condition

10.3934/proc.2015.0878 ◽

2015 ◽

Author(s):

Shoji Yotsutani ◽

Kunimochi Sakamoto ◽

Minoru Murai

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Representation Formula ◽

Derivative Nonlinear Schrödinger Equation

On the Cauchy problem for the derivative nonlinear Schrodinger equation with periodic boundary condition

International Mathematics Research Notices ◽

10.1155/imrn/2006/96763 ◽

2006 ◽

Cited By ~ 13

Author(s):

S. Herr

Keyword(s):

Boundary Condition ◽

Cauchy Problem ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Derivative Nonlinear Schrödinger Equation

The Cauchy Problem ◽

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 ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Derivative Nonlinear Schrödinger Equation

Well Posedness ◽

Nonlinear Schrödinger ◽

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 ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Nonlinear Schrödinger ◽

Quarter Plane ◽

Long-time asymptotic behavior for a fourth-order dispersive nonlinear Schrödinger equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125560 ◽

2021 ◽

pp. 125560

Author(s):

Yu-Feng Wang ◽

Nan Liu ◽

Bo-Ling Guo

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Fourth Order ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Long Time ◽

Time Asymptotic Behavior

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

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

10.1007/bfb0084910 ◽

1990 ◽

pp. 236-251 ◽

Cited By ~ 4

Author(s):

Takayoshi Ogawa ◽

Yoshio Tsutsumi

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Periodic Boundary ◽

Blow Up ◽

Nonlinear Schrödinger ◽

Quartic Potential

Long-Time Asymptotics for the Focusing NLS Equation with Time-Periodic Boundary Condition on the Half-Line

Communications in Mathematical Physics ◽

10.1007/s00220-009-0848-7 ◽

2009 ◽

Vol 290 (2) ◽

pp. 479-522 ◽

Cited By ~ 42

Author(s):

Anne Boutet de Monvel ◽

Alexander Its ◽

Vladimir Kotlyarov

Keyword(s):

Boundary Condition ◽

Periodic Boundary ◽

Half Line ◽

Nls Equation ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics ◽

Long-time asymptotics for the focusing NLS equation with time-periodic boundary condition

Comptes Rendus Mathematique ◽

10.1016/j.crma.2007.10.018 ◽

2007 ◽

Vol 345 (11) ◽

pp. 615-620 ◽

Cited By ~ 22

Author(s):

Anne Boutet de Monvel ◽

Alexander Its ◽

Vladimir Kotlyarov

Keyword(s):

Boundary Condition ◽

Periodic Boundary ◽

Nls Equation ◽

Time Asymptotics ◽

Long Time ◽

Long Time Asymptotics ◽

Long time asymptotic behavior of the focusing nonlinear Schrödinger equation

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2017.08.006 ◽

2018 ◽

Vol 35 (4) ◽

pp. 887-920 ◽

Cited By ~ 8

Author(s):

Michael Borghese ◽

Robert Jenkins ◽

Kenneth D.T.-R. McLaughlin

Keyword(s):

Asymptotic Behavior ◽

Schrödinger Equation ◽

Schrodinger Equation ◽

Nonlinear Schrödinger ◽

Long Time ◽

Time Asymptotic Behavior

MHD Mixed Convection Flow in a Vertical Pipe with Time Periodic Boundary Condition: Steady Periodic Regime

International Journal of Fluid Mechanics Research ◽

10.1615/interjfluidmechres.v43.i4.50 ◽

2016 ◽

Vol 43 (4) ◽

pp. 350-367 ◽

Cited By ~ 1

Author(s):

Basant K. Jha ◽

Babatunde Aina

Keyword(s):

Boundary Condition ◽

Mixed Convection ◽

Periodic Boundary ◽

Convection Flow ◽

Periodic Regime ◽

Mixed Convection Flow ◽

Vertical Pipe ◽