Applicable Analysis, Volume 89, Issue 9 (2010)

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Applicable Analysis, Volume 89, Issue 9 (2010)

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Mathematics of Nonlinear Lattices

Original Articles

Article
Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein–Gordon lattices
Dario Bambusi, Simone Paleari & Tiziano Penati
Pages: 1313-1334
Published online: 26 Jul 2010
AbstractforExistence and continuous approximation of small amplitude breathers in 1D and 2D Klein–Gordon lattices | Full Text | References | PDF (213.7 KB)
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Article
Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient
Juan Belmonte-Beitia & Dmitry Pelinovsky
Pages: 1335-1350
Published online: 22 Mar 2010
AbstractforBifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient | Full Text | References | PDF (180.7 KB)
  • 60 Views
  • 5 CrossRef citations
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Article
Energy thresholds for the existence of breather solutions and travelling waves on lattices
J. Cuevas, N.I. Karachalios & F. Palmero
Pages: 1351-1385
Published online: 03 Feb 2010
AbstractforEnergy thresholds for the existence of breather solutions and travelling waves on lattices | Full Text | References | PDF (975.5 KB)
  • 89 Views
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Article
Travelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions
Michal Fečkan & Vassilis M. Rothos
Pages: 1387-1411
Published online: 16 Dec 2009
AbstractforTravelling waves of discrete nonlinear Schrödinger equations with nonlocal interactions | Full Text | References | PDF (326.7 KB)
  • 158 Views
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Article
Interaction of modulated pulses in scalar multidimensional nonlinear lattices
Johannes Giannoulis
Pages: 1413-1445
Published online: 26 Jul 2010
AbstractforInteraction of modulated pulses in scalar multidimensional nonlinear lattices | Full Text | References | PDF (300.7 KB)
  • 49 Views
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Article
Continuation of discrete breathers from infinity in a nonlinear model for DNA breathing
Guillaume James, Antoine Levitt & Cynthia Ferreira
Pages: 1447-1465
Published online: 26 Jul 2010
AbstractforContinuation of discrete breathers from infinity in a nonlinear model for DNA breathing | Full Text | References | PDF (361.1 KB)
  • 58 Views
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Article
On asymptotic stability of solitary waves in discrete Klein–Gordon equation coupled to a nonlinear oscillator
E.A. Kopylova
Pages: 1467-1492
Published online: 19 Apr 2010
AbstractforOn asymptotic stability of solitary waves in discrete Klein–Gordon equation coupled to a nonlinear oscillator | Full Text | References | PDF (241.5 KB)
  • 68 Views
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Article
Dispersive stability of infinite-dimensional Hamiltonian systems on lattices
Alexander Mielke & Carsten Patz
Pages: 1493-1512
Published online: 26 Jul 2010
AbstractforDispersive stability of infinite-dimensional Hamiltonian systems on lattices | Full Text | References | PDF (609.1 KB)
  • 81 Views
  • 10 CrossRef citations
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Article
Global well-posedness for discrete non-linear Schrödinger equation
Gaston M. N'Guérékata & Alexander Pankov
Pages: 1513-1521
Published online: 30 Oct 2009
AbstractforGlobal well-posedness for discrete non-linear Schrödinger equation | Full Text | References | PDF (108.3 KB)
  • 87 Views
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Article
Bounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system
Guido Schneider
Pages: 1523-1539
Published online: 17 Feb 2010
AbstractforBounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system | Full Text | References | PDF (221.6 KB)
  • 142 Views
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Article
Standing wave solutions of the discrete non-linear Schrödinger equations with unbounded potentials, II
Guoping Zhang & Alexander Pankov
Pages: 1541-1557
Published online: 18 Nov 2009
AbstractforStanding wave solutions of the discrete non-linear Schrödinger equations with unbounded potentials, II | Full Text | References | PDF (157.7 KB)
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