Focusing Singularity in a Derivative Nonlinear Schrödinger Equation

Xiao Liu, Gideon Simpson, Catherine Sulem

Type: Preprint

Publication Date: 2013-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.1301.1048

View Publication

Locations

arXiv (Cornell University) - View
CiteSeer X (The Pennsylvania State University) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Focusing singularity in a derivative nonlinear Schrödinger equation	2013	Xiao Liu Gideon Simpson Catherine Sulem
+	The Focusing Singularity of the Nonlinear Schrödinger Equation	1987	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem
+	Local structure of the self-focusing singularity of the nonlinear Schrödinger equation	1988	Brenton LeMesurier George Papanicolaou Catherine Sulem P. L. Sulem
+ PDF Chat	Asymptotics for the higher-order derivative nonlinear Schrödinger equation	2021	Pavel I. Naumkin Isahi Sánchez-Suárez
+	Focusing Singularity for the Nonlinear Schroedinger Equation	1983	George Papanicolaou David W. McLaughlin Michael I. Weinstein
+ PDF Chat	Instability of degenerate solitons for nonlinear Schrödinger equations with derivative	2022	Noriyoshi Fukaya Masayuki Hayashi
+ PDF Chat	Local Structure of Singular Profiles for a Derivative Nonlinear Schrödinger Equation	2017	Yuri Cher Gideon Simpson Catherine Sulem
+ PDF Chat	Numerical evidence for singularity formation in defocusing fractional NLS in one space dimension	2024	Christian Klein Christof Sparber
+ PDF Chat	Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity II: Supercritical blow-up profiles	2020	Justin Holmer Chang Liu
+	Instability of degenerate solitons for nonlinear Schrödinger equations with derivative	2021	Noriyoshi Fukaya Masayuki Hayashi
+	Global dynamics for a class of inhomogeneous nonlinear Schr\"odinger equations with potential	2019	Van Duong Dinh
+	A quantitative study of the nonlinear Schrödinger equation with singular potential of any derivative orders	2013	Debananda Chakraborty Jae-Hun Jung
+ PDF Chat	Soliton Resolution for the Derivative Nonlinear Schrödinger Equation	2018	R. M. Jenkins Jiaqi Liu Peter Perry Catherine Sulem
+	Global dynamics for a class of inhomogeneous nonlinear Schrödinger equations with potential	2019	Van Duong Dinh
+	Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity I: Basic theory	2015	Justin Holmer Chang Liu
+	Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity II: Supercritical blow-up profiles	2017	Justin Holmer Chang Liu
+	Formation of singularities in solutions of the nonlinear Schrödinger equation with critical power nonlinearity	1994	Hayato Nawa
+	EQUATIONS IN THE PRESENCE OF CAUSTICS	2007	Emi Carles Laurent Gosse
+	Blow-up for the nonlinear Schrödinger equation with combined nonlinearities	2018	Qing Guo Shihui Zhu
+	On the focusing mass-critical nonlinear fourth-order Schr\"odinger equation below the energy space	2017	Van Duong Dinh

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation	2013	Xiao Liu Gideon Simpson Catherine Sulem

Works Cited by This (17)

Action	Title	Year	Authors
+	Introduction to Nonlinear Dispersive Equations	2009	Felipe Linares Gustavo Ponce
+	Focusing singularity of the cubic Schrödinger equation	1986	D. W. McLaughlin George Papanicolaou Catherine Sulem P. L. Sulem
+	Rate of blowup for solutions of the nonlinear Schrödinger equation at critical dimension	1988	M. J. Landman George Papanicolaou Catherine Sulem P. L. Sulem
+	On the derivative nonlinear Schrödinger equation	1992	Nakao Hayashi Tohru Ozawa
+	Singular boundary value problems for ODEs	2002	L. F. Shampine
+ PDF Chat	Fourth-Order Time-Stepping for Stiff PDEs	2005	Aly-Khan Kassam Lloyd N. Trefethen
+ PDF Chat	Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation	2013	Xiao Liu Gideon Simpson Catherine Sulem
+	Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations	1998	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	Well-posedness for one-dimensional derivative nonlinear Schrödinger equations	2007	Chengchun Hao
+	Multidimensional modulation of Alfvén waves	1993	T. Passot P. L. Sulem