Radially symmetric traveling waves for the
Schrödinger equation on the Heisenberg group

Louise Gassot

doi:10.2140/paa.2020.2.739

Radially symmetric traveling waves for the Schrödinger equation on the Heisenberg group

Pure and Applied Analysis ◽

10.2140/paa.2020.2.739 ◽

2020 ◽

Vol 2 (4) ◽

pp. 739-794

Author(s):

Louise Gassot

Keyword(s):

Schrödinger Equation ◽

Heisenberg Group ◽

Traveling Waves ◽

Schrodinger Equation

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On the orbital stability of a family of traveling waves for the cubic Schrödinger equation on the Heisenberg group

Bulletin de la Société mathématique de France ◽

10.24033/bsmf.2824 ◽

2021 ◽

Vol 149 (1) ◽

Author(s):

Louise Gassot

Keyword(s):

Schrödinger Equation ◽

Heisenberg Group ◽

Traveling Waves ◽

Schrodinger Equation ◽

Orbital Stability ◽

Cubic Schrödinger Equation

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

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

10.3934/proc.2015.0878 ◽

2015 ◽

Author(s):

Shoji Yotsutani ◽

Kunimochi Sakamoto ◽

Minoru Murai

Keyword(s):

Boundary Condition ◽

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Periodic Boundary Condition ◽

Periodic Boundary ◽

Representation Formula ◽

Nonlinear Schrodinger Equation ◽

Derivative Nonlinear Schrödinger Equation

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Stability of the traveling waves for the derivative Schrödinger equation in the energy space

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-017-1128-6 ◽

2017 ◽

Vol 56 (2) ◽

Cited By ~ 6

Author(s):

Changxing Miao ◽

Xingdong Tang ◽

Guixiang Xu

Keyword(s):

Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Energy Space

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Strichartz inequalities for the Schrödinger equation with the full Laplacian on the Heisenberg group

Studia Mathematica ◽

10.4064/sm160-2-4 ◽

2004 ◽

Vol 160 (2) ◽

pp. 157-178 ◽

Cited By ~ 5

Author(s):

Giulia Furioli ◽

Alessandro Veneruso

Keyword(s):

Schrödinger Equation ◽

Heisenberg Group ◽

Schrodinger Equation

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Traveling-waves and solitons in a generalized time-variable coefficients nonlinear Schrödinger equation with higher-order terms

Physics Letters A ◽

10.1016/j.physleta.2012.11.049 ◽

2013 ◽

Vol 377 (3-4) ◽

pp. 167-175 ◽

Cited By ~ 8

Author(s):

Emmanuel Yomba

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Variable Coefficients ◽

Higher Order ◽

Nonlinear Schrodinger Equation ◽

Time Variable ◽

Higher Order Terms ◽

Generalized Time

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Conservation laws, exact traveling waves and modulation instability for an extended nonlinear Schrödinger equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/48/35/355205 ◽

2015 ◽

Vol 48 (35) ◽

pp. 355205 ◽

Cited By ~ 7

Author(s):

V Achilleos ◽

S Diamantidis ◽

D J Frantzeskakis ◽

N I Karachalios ◽

P G Kevrekidis

Keyword(s):

Schrödinger Equation ◽

Conservation Laws ◽

Nonlinear Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Modulation Instability ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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The nonlinear Schrödinger equation: Asymmetric perturbations, traveling waves and chaotic structures

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(96)00051-1 ◽

1997 ◽

Vol 43 (1) ◽

pp. 3-12 ◽

Cited By ~ 8

Author(s):

M.J. Ablowitz ◽

B.M. Herbst ◽

C.M. Schober

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Nonlinear Schrödinger

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On Traveling Waves of the Nonlinear Schrödinger Equation Escaping a Potential Well

Annales Henri Poincaré ◽

10.1007/s00023-020-00897-2 ◽

2020 ◽

Vol 21 (5) ◽

pp. 1677-1758

Author(s):

Ivan Naumkin ◽

Pierre Raphaël

Keyword(s):

Schrödinger Equation ◽

Nonlinear Schrödinger Equation ◽

Traveling Waves ◽

Schrodinger Equation ◽

Nonlinear Schrodinger Equation ◽

Potential Well ◽

Nonlinear Schrödinger

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Fractional time-dependent Schrödinger equation on the Heisenberg group

Mathematische Zeitschrift ◽

10.1007/s00209-008-0308-7 ◽

2008 ◽

Vol 260 (4) ◽

pp. 931-948 ◽

Cited By ~ 1

Author(s):

Roman Urban ◽

Jacek Zienkiewicz

Keyword(s):

Schrödinger Equation ◽

Heisenberg Group ◽

Schrodinger Equation ◽

Time Dependent

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Schrödinger equation on the Heisenberg group

Studia Mathematica ◽

10.4064/sm161-2-1 ◽

2004 ◽

Vol 161 (2) ◽

pp. 99-111 ◽

Cited By ~ 2

Author(s):

Jacek Zienkiewicz

Keyword(s):

Schrödinger Equation ◽

Heisenberg Group ◽

Schrodinger Equation

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