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A Family of Exact, Analytic Time Dependent Wave Packet Solutions to a Nonlinear Schroedinger Equation
A Family of Exact Analytic Time Dependent Packet Solutions Nonlinear Schroedinger Equation Mathematical Physics
2012/6/19
We obtain time dependent $q$-Gaussian wave-packet solutions to a non linear Schr\"odinger equation recently advanced by Nobre, Rego-Montero and Tsallis (NRT) [Phys. Rev. Lett. 106 (2011) 10601]. The N...
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...
Soliton-like Solutions for Nonlinear Schroedinger Equation with variable quadratic Hamiltonians
Soliton-like Solutions Nonlinear Schroedinger Equation variable quadratic Hamiltonians
2010/11/11
We construct soliton-like solutions for the nonlinear Schroedinger equation with variable quadratic Hamiltonians in a unified form by using a complete integrability of generalized harmonic oscillator...