Decay of bound states in a sine-Gordon equation with double-well potentials

DOI10.1063/1.4917284zbMath1319.35233OpenAlexW1543657737MaRDI QIDQ5253060

Hadi Susanto, Amir R. Ali, Jonathan A. D. Wattis

Publication date: 4 June 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://eprints.nottingham.ac.uk/30740/

zbMATH Keywords

sine-Gordon equationbound stateJosephson junction

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (3)

Localized modes in \(\mathcal{PT}\)-symmetric sine-Gordon couplers with phase shift ⋮ Reduction of a damped, driven Klein–Gordon equation into a discrete nonlinear Schrödinger equation: Justification and numerical comparison ⋮ Localized modes in parametrically driven long Josephson junctions with a double-well potential

Cites Work

• Resonances, radiation damping and instability in Hamiltonian nonlinear wave equations
• Metastable states in parametrically excited multimode Hamiltonian systems
• Dynamics of lattice kinks
• Nonautonomous Hamiltonians
• Sine-Gordon wobbles through Bäcklund transformations
• Internal modes of solitons and near-integrable highly-dispersive nonlinear systems
• Breathing Modes of Long Josephson Junctions with Phase-Shifts
• On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential
• The sine-Gordon wobble
• Integrability revisited: a necessary condition

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