The center manifold and bifurcations of damped and driven sine-Gordon breathers

DOI10.1016/0167-2789(92)90022-FzbMath0755.35114OpenAlexW2072900530MaRDI QIDQ1197513

Rainer Grauer, Björn Birnir

Publication date: 16 January 1993

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(92)90022-f

zbMATH Keywords

linear stabilitynumerical simulationsperturbed sine-Gordon equationbifurcations of breathers

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Bifurcations in context of PDEs (35B32)

Related Items

An explicit description of the global attractor of the damped and driven sine-Gordon equation ⋮ Identification of mass capturing structures in a perturbed nonlinear Schrödinger equation ⋮ The basic attractor and the remainder of homo- and heteroclinic orbits ⋮ Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation

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