The Defocusing NLS Equation and Its Normal Form

Benoît Grébert, Thomas Kappeler

Type: Book

Publication Date: 2014-03-04

Citations: 96

DOI: https://doi.org/10.4171/131

View Publication

Locations

HAL (Le Centre pour la Communication Scientifique Directe) - View
EMS series of lectures in mathematics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Near integrable systems on the line: A case study-pertubation theory of the defocusing nonlinear Schrödinger equation	1997	Percy Deift Xiaowen Zhou
+	Defocusing Nonlinear Schrödinger Equations	2019	Benjamin Dodson
+	Hamiltonian and small action variables for periodic dNLS	2009	Evgeny Korotyaev
+ PDF Chat	The defocusing nonlinear Schrödinger equation with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si18.gif" display="inline" overflow="scroll"><mml:mi>t</mml:mi></mml:math>-periodic data: New exact solutions	2015	Jonatan Lenells
+	Defocusing <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mo>˙</mml:mo></mml:mrow></mml:mover></mml:mrow><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac></mml:mrow></mml:msup></mml:math>-critical inhomogeneous nonlinear Schrödinger equations	2022	Ying Wang Chengbin Xu
+	The Defocusing Nonlinear Schrödinger Equation	2015	P. G. Kevrekidis D. J. Frantzeskakis R. Carretero-González
+	Η μέθοδος της αντίστροφης σκέδασης για την μη-γραμμική εξίσωση Schrödinger και ακραία κυματικά φαινόμενα	2018	Κωνσταντίνα Κωνσταντή
+	On the global well-posedness of the Calogero–Sutherland derivative nonlinear Schrödinger equation	2024	Rana Badreddine
+	On the Whitham equations for the semiclassical limit of the defocusing nonlinear Schrödinger equation	1999	Fei Tian Jian Ye
+	A KAM theorem for the defocusing NLS equation	2011	Thomas Kappeler Zhenguo Liang
+	Elliptic solutions of the defocusing NLS equation are stable	2011	Nathaniel Bottman Bernard Deconinck Michael Nivala
+	The semiclassical limit of the defocusing nonlinear Schroedinger flows.	1991	S. Jin
+	Characterizing far from equilibrium states of the one-dimensional nonlinear Schr{ö}dinger equation	2022	Abhik Kumar Saha Romain Dubessy
+	An introduction to the distorted Fourier transform	2025	Haram Ko Wilhelm Schlag
+	Initial-boundary value problems for the defocusing nonlinear Schrödinger equation in the semiclassical limit	2014	Peter D. Miller Zhenyun Qin
+ PDF Chat	Global wellposedness of defocusing critical nonlinear Schrödinger equation in the radial case	1999	Jean Bourgain
+	Exact solutions of multicomponent nonlinear Schrödinger equations under general plane-wave boundary conditions	2013	Takayuki Tsuchida
+	On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation	2023	Rana Badreddine
+ PDF Chat	Partial mass dynamics of the defocussing nonlinear Schr\"odinger equation	2024	Jiaqi Liu XiXi Xu
+ PDF Chat	Rapidity distribution within the defocusing non-linear Schrödinger equation model	2023	Y Bezzaz Léa Dubois Isabelle Bouchoule

Works That Cite This (94)

Action	Title	Year	Authors
+	Sobolev Stability of Plane Wave Solutions to the Nonlinear Schrodinger Equation	2014	Bobby Wilson
+ PDF Chat	Asymptotics of spectral quantities of Zakharov–Shabat operators	2018	Thomas Kappeler B. Schaad Peter Topalov
+ PDF Chat	Validity of the hyperbolic Whitham modulation equations in Sobolev spaces	2020	Thomas J. Bridges Anna Kostianko Sergey Zelik
+ PDF Chat	On the Integrability of the <scp>Benjamin‐Ono</scp> Equation on the Torus	2020	Patrick Gérard Thomas Kappeler
+ PDF Chat	On the extension of the frequency maps of the KdV and the KdV2 equations	2016	Thomas Kappeler Jan-Cornelius Molnar
+ PDF Chat	Long time behavior of the NLS-Szegö equation	2019	Ruoci Sun
+	Normal form approach to the one-dimensional periodic cubic nonlinear Schrödinger equation in almost critical Fourier-Lebesgue spaces	2018	Tadahiro Oh Yuzhao Wang
+	Dubrovin equation for periodic Dirac operator on the half-line	2020	Evgeny Korotyaev Dmitrii Mokeev
+	Asymptotics of spectral quantities of Zakharov-Shabat operators	2015	Thomas Kappeler B. Schaad Peter Topalov
+	On the global well-posedness of the Calogero–Sutherland derivative nonlinear Schrödinger equation	2024	Rana Badreddine

Works Cited by This (0)

Action	Title	Year	Authors