T. Penati
Continuous approximation of breathers in one and two dimensional DNLS lattices.
Fri, 09/11/2009 - 19:12 — SomNambulAuthors: D. Bambusi, T. Penati
Subjects: Dynamical Systems
AbstractIn this paper we construct and approximate breathers in the DNLS model
starting from the continuous limit: such periodic solutions are obtained as
perturbations of the ground state of the NLS model in $H^1(\RR^n)$, with
$n=1,2$. In both the dimensions we recover the Sievers-Takeno (ST) and the Page
(P) modes; furthermore, in $\RR^2$ also the two hybrid (H) modes are
constructed. The proof is based on the interpolation of the lattice using the
Finite Element Method (FEM).Continuous approximation of breathers in one and two dimensional DNLS lattices.
Fri, 09/11/2009 - 19:12 — SomNambulAuthors: D. Bambusi, T. Penati
Subjects: Dynamical Systems
AbstractIn this paper we construct and approximate breathers in the DNLS model
starting from the continuous limit: such periodic solutions are obtained as
perturbations of the ground state of the NLS model in $H^1(\RR^n)$, with
$n=1,2$. In both the dimensions we recover the Sievers-Takeno (ST) and the Page
(P) modes; furthermore, in $\RR^2$ also the two hybrid (H) modes are
constructed. The proof is based on the interpolation of the lattice using the
Finite Element Method (FEM).
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