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Reflection of Channel-Guided Solitons at Junctions in Two-Dimensional Nonlinear Schroedinger Equation
Reflection of Channel-Guided Solitons Junctions Two-Dimensional Nonlinear Schroedinger Equation Pattern Formation and Solitons
2012/4/26
Solitons confined in channels are studied in the two-dimensional nonlinear Schr\"odinger equation. We study the dynamics of two channel-guided solitons near the junction where two channels are merged....
The Nonlinear Schroedinger Equation: Existence, Stability and Dynamics of Solitons
Soliton dynamics Nonlinear Schroedinger Equation
2011/2/28
In this paper we present some recent results concerning the existence,the stability and the dynamics of solitons occurring in the nonlinear Schroedinger equation when the parameter h → 0.
Solutions for a Nonhomogeneous Nonlinear Schroedinger Equation with Double Power Nonlinearity
Nonlinear Equations Variational Methods Orlicz Spaces
2011/2/28
We consider the problem u + V (x)u = f0(u) + g(x) in RN, under the assumption limx!1 V (x) = 0, and with the non linear term f with a double power behavior. We prove the existence two solut...