Reducing a generalized Davey–Stewartson system to a non-local nonlinear Schrödinger equation

A. Eden, S. Erbay, İrma Hacınlıyan

Type: Article

Publication Date: 2008-04-25

Citations: 5

DOI: https://doi.org/10.1016/j.chaos.2007.11.035

View Publication

Locations

Chaos Solitons & Fractals - View

Similar Works

Action	Title	Year	Authors
+	Nonlinear Schrödinger and Davey–Stewartson Equations	2013	Xiaoping Xu
+	Extensions of the nonlinear Schrödinger equation using Mathematica	2009	Robert Beech
+	Damped Non-linear Coupled Schrödinger Equations	2018	Tarek Saanouni
+ PDF Chat	Nonlocal Reductions of The Multicomponent Nonlinear Schrödinger Equation on Symmetric Spaces	2018	Georgi G. Grahovski Junaid Mustafa H. Susanto
+	Nonlinear Schrödinger Equations	1999	Jean Bourgain
+ PDF Chat	Nonlinear Schrödinger equations	1998	Jean Bourgain
+ PDF Chat	Nonlinear Schrödinger Equations	2006
+	Nonlinear Schrödinger equations	2008	Tosio Kato
+ PDF Chat	Solutions to a class of nonlinear Schrödinger equations involving a nonlocal term	2024	Tomas Dutko
+ PDF Chat	Bilinearisation-reduction approach to the nonlocal discrete nonlinear Schrödinger equations	2018	Xiao Deng Sen‐Yue Lou Da‐jun Zhang
+	Partial Differential Equations On a nonlinear Schrödinger equation with a localizing effect	2006	Pascal Bégout Jesús Ildefonso Díaz Díaz
+	Generalized non-linear Schrodinger equations and related systems with derivative non-linearity (Harmonic Analysis and Nonlinear Partial Differential Equations)	1999	Carlos E. Kenig
+	Nonlinear Schrödinger Equation	2019
+	On the nonlinear Schrödinger equation with non-local interaction	1994	均平田
+	A survey on systems of nonlinear Schrödinger equations	2008	Antonio Ambrosetti
+ PDF Chat	Hamiltonian formalism for nonlinear Schrödinger equations	2023	Ali Pazarci Umut Can Turhan Nader Ghazanfari Ilmar Gahramanov
+	Nonlinear Schrödinger evolution equations	1980	Haı̈m Brezis Thierry Gallouët
+	A system of nonlinear evolution Schrödinger equations	2007	Sh. M. Nasibov
+ PDF Chat	The modified nonlinear Schrödinger equation: facts and artefacts	2002	E. V. Doktorov
+	Nonlinear Schrödinger Equation: Simulation and Application	2010

Works That Cite This (5)

Action	Title	Year	Authors
+	On the integrability of a generalized Davey–Stewartson system	2013	A. Eden T.B. Gürel
+	Applications of He's semi-inverse method, ITEM and GGM to the Davey-Stewartson equation	2017	Reza Farshbaf Zinati Jalil Manafian
+	A note on the global existence of small amplitude solutions to a generalized Davey–Stewartson system	2009	A. Eden İrma Hacınlıyan
+	Optical soliton wave solutions to the resonant Davey–Stewartson system	2016	Mehdi Fazli Aghdaei Jalil Manafian
+ PDF Chat	Exact solutions and excitations for the Davey-Stewartson equations with nonlinear and gain terms	2010	R. Wang Yong-Chang Huang

Works Cited by This (8)

Action	Title	Year	Authors
+	Solutions of the generalized nonlinear Schrödinger equation in two spatial dimensions	1979	H. Cornille
+	Global existence and nonexistence results for a generalized Davey–Stewartson system	2004	Ceni Babaoğlu A. Eden S. Erbay
+	Dromions and a boundary value problem for the Davey-Stewartson 1 equation	1990	A. S. Fokas P. M. Santini
+	On the initial value problem for the Davey-Stewartson systems	1990	Jean‐Michel Ghidaglia Jean‐Claude Saut
+	Basic Linear Partial Differential Equations	1975	François Trèves
+	Nonlinear Evolution Equations—Two and Three Dimensions	1975	Mark J. Ablowitz R. Haberman
+	Some special solutions of a generalized Davey–Stewartson system	2005	Ceni Babaoğlu
+	Prolongation structures and nonlinear evolution equations in two spatial dimensions	1976	Hedley Morris