The parametrically modified sine-Gordon equation: Spectral properties, collisions, resonances and their connection to integrability

DOI10.1016/S0167-2789(02)00537-7zbMath1002.35109OpenAlexW2169291720WikidataQ63543306 ScholiaQ63543306MaRDI QIDQ1607341

Niurka Rodriguez Quintero, Panayotis G. Kevrekidis

Publication date: 31 July 2002

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(02)00537-7

zbMATH Keywords

spectrumeigenfunctionsresonanceskinksnear-integrable systemparametrically modified sine-Gordonphonon bandphonon radiation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items

Diffusion mechanism of non-interacting Brownian particles through a deformed substrate ⋮ Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model ⋮ Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient ⋮ Transient radiative behavior of Hamiltonian systems in finite domains

Uses Software

• Matlab
• IMSL Numerical Libraries

Cites Work

• Solitary wave collisions revisited
• Numerical solution of a nonlinear Klein-Gordon equation
• Moving kinks and nanopterons in the nonlinear Klein-Gordon lattice
• Edge Bifurcations for Near Integrable Systems via Evans Function Techniques
• The Mechanism of the Polarizational Mode Instability in Birefringent Fiber Optics
• Integrability revisited: a necessary condition

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