Numerical study of blow-up in the Davey-Stewartson system

Christian Klein, Benson Muite, K. Roidot

Type: Article

Publication Date: 2013-01-01

Citations: 16

DOI: https://doi.org/10.3934/dcdsb.2013.18.1361

View Publication

Locations

Discrete and Continuous Dynamical Systems - B - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Numerical Study of Blowup in the Davey-Stewartson System	2011	Christian Klein Benson Muite K. Roidot
+	Numerical study of blow-up mechanisms for Davey-Stewartson II systems	2017	Christian Klein N. Stoilov
+ PDF Chat	Numerical Study of Blow‐Up Mechanisms for Davey–Stewartson II Systems	2018	Christian Klein Nikola Stoilov
+	Blowing-up of solutions of a class of Davey-Stewartson systems	2002	Emil Minchev
+	Blow-up Dynamics of L^2 Solutions for the Davey-Stewartson System	2015	Shi Hui Hui Жу
+	Blow-up dynamics of L 2 solutions for the Davey-Stewartson system	2015	Shihui Zhu
+	Focusing and defocusing cases of the purely elliptic generalized Davey-Stewartson system	2009	A. Eden T.B. Gürel Elif Kuz
+	On lump instability of Davey--Stewartson II equation	1998	R. R. Gadyl’shin O. M. Kiselëv
+	Blow-up of solutions to a nonlinear dispersive rod equation	2005	Yong Zhou
+	A numerical approach to Blow-up issues for Davey-Stewartson II type systems	2014	Christian Klein Jean‐Claude Saut
+	The sharp threshold and limiting profile of blow-up solutions for a Davey–Stewartson system	2010	Xiaoguang Li Jian Zhang Shaoyong Lai Yonghong Wu
+	A numerical approach to Blow-up issues for Davey-Stewartson II systems	2015	Christian Klein Jean–Claude Saut
+ PDF Chat	Global well-posedness and long-time asymptotics for the defocussing Davey–Stewartson II equation in $H^{1,1}(\mathbb C)$	2016	Peter Perry
+ PDF Chat	Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation	2018	R. M. Brown Peter Perry
+	Blow up of solutions to ordinary differential equations arising in nonlinear dispersive problems	2018	Milena Dimova Natalia Kolkovska Nikolai Kutev
+	Blow-up in several points for the Davey–Stewartson system in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>	2018	Binhua Feng Jiajia Ren Kai Wang
+	Blowup phenomena for the vector nonlinear Schroedinger equation	2001	James T. Coleman
+	Soliton Solutions and their (In)stability for the Focusing Davey-Stewartson II Equation	2016	Peter Perry
+	Soliton Solutions and their (In)stability for the Focusing Davey-Stewartson II Equation	2016	Peter Perry
+	On the Davey-Stewartson system with competing nonlinearities	2016	Shihui Zhu

Works That Cite This (18)

Action	Title	Year	Authors
+ PDF Chat	Soliton solutions and their (in)stability for the focusing Davey–Stewartson II equation	2018	R. M. Brown Peter Perry
+ PDF Chat	High precision numerical approach for Davey–Stewartson II type equations for Schwartz class initial data	2020	Christian Klein K. T-R McLaughlin Nikola Stoilov
+ PDF Chat	Parallel Computing for the study of the focusing Davey-Stewartson II equation in semiclassical limit	2012	K. Roidot
+ PDF Chat	IST Versus PDE: A Comparative Study	2015	Christian Klein Jean‐Claude Saut
+	Numerical study of Davey–Stewartson I systems	2022	Jörg Frauendiener Christian Klein Umar Dauda Muhammad N. Stoilov
+ PDF Chat	Numerical study of the semiclassical limit of the Davey–Stewartson II equations	2014	Christian Klein K. Roidot
+ PDF Chat	Numerical Study of Blow‐Up Mechanisms for Davey–Stewartson II Systems	2018	Christian Klein Nikola Stoilov
+ PDF Chat	Variable coefficient Davey-Stewartson system with a Kac-Moody-Virasoro symmetry algebra	2016	F. Güngör Cihangir Özemir
+ PDF Chat	A lower bound on the blow-up rate for the Davey–Stewartson system on the torus	2012	Nicolas Godet
+	A numerical approach to Blow-up issues for Davey-Stewartson II systems	2015	Christian Klein Jean–Claude Saut

Works Cited by This (25)

Action	Title	Year	Authors
+	Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schrödinger equation	2006	Christian Klein
+	Geometry and Modulation Theory for the Periodic Nonlinear Schrodinger Equation	1986	M. Gregory Forest Jong-Eao Lee
+	Numerical simulation of solitons and dromions in the Davey–Stewartson system	1994	P. W. White J. A. C. Weideman
+	The Cauchy problem for the Kadomtsev–Petviashvili–I equation without the zero mass constraint	1999	A. S. Fokas Li-yeng Sung
+ PDF Chat	On the product of semi-groups of operators	1959	H. F. Trotter
+ PDF Chat	Numerical Study of Blow up and Stability of Solutions of Generalized Kadomtsev–Petviashvili Equations	2012	Christian Klein Jean‐Claude Saut
+	A new type of soliton behavior of the Davey-Stewartson equations in a plasma system	1994	Katsuhiro Nishinari K. Abe Junkichi Satsuma
+ PDF Chat	Spectral decomposition for the Dirac system associated to the DSII equation	2000	Dmitry E. Pelinovsky Catherine Sulem
+ PDF Chat	Numerical study of the Davey-Stewartson system	2004	Christophe Besse Norbert J. Mauser Hans Peter Stimming
+	On the initial value problem for the Davey-Stewartson systems	1990	Jean‐Michel Ghidaglia Jean‐Claude Saut