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pro vyhledávání: '"Penati, T."'
In this work, we study the existence of low amplitude four-site phase-shift multibreathers for small values of the coupling $\epsilon$ in Klein-Gordon (KG) chains with interactions longer than the classical nearest-neighbour ones. In the proper param
Externí odkaz:
http://arxiv.org/abs/1803.03037
We consider a one-dimensional discrete nonlinear Schr{\"o}dinger (dNLS) model featuring interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) of phase-shift discrete solitons, which correspond to four-sites vorte
Externí odkaz:
http://arxiv.org/abs/1707.01679
Small-amplitude weakly coupled oscillators of the Klein-Gordon lattices are approximated by equations of the discrete nonlinear Schrodinger type. We show how to justify this approximation by two methods, which have been very popular in the recent lit
Externí odkaz:
http://arxiv.org/abs/1509.06389
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation November 2020 90
Publikováno v:
Applicable Analysis, 89, 9, 1313-1334 (2010)
We construct small amplitude breathers in 1D and 2D Klein--Gordon infinite lattices. We also show that the breathers are well approximated by the ground state of the nonlinear Schroedinger equation. The result is obtained by exploiting the relation b
Externí odkaz:
http://arxiv.org/abs/0909.3467
Autor:
Bambusi, D., Penati, T.
In 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 dimension
Externí odkaz:
http://arxiv.org/abs/0909.1942
We study the dynamics of a chain of coupled particles subjected to a restoring force (Klein-Gordon lattice) in the cases of either periodic or Dirichlet boundary conditions. Precisely, we prove that, when the initial data are of small amplitude and h
Externí odkaz:
http://arxiv.org/abs/0802.2211
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation August 2018 61:198-224
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