Artículo
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
Autor/es | Kevrekidis, Panayotis G.
Carretero-González, Ricardo Cuevas-Maraver, Jesús Frantzeskakis, Dimitri J. Caputo, Jean-Guy Malomed, Boris A. |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada I |
Fecha de publicación | 2021-03 |
Fecha de depósito | 2021-02-03 |
Publicado en |
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Resumen | We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to ana- lytical predictions developed by means ... We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to ana- lytical predictions developed by means of multiple-scale perturbation theory showing good agreement in the long-wavelength limit. By means of direct simulations, it is found that the instability leads to a breakup of the quasi-1D breather in a chain of interacting 2D radial breathers that appear to be fairly robust in the dynamics. The stability and dy- namics of radial breathers in a finite domain are studied in detail by means of numerical methods. Different families of such solutions are identified. They develop small-amplitude spatially oscillating tails (“nanoptera”) through a resonance of higher-order breather’s har- monics with linear modes (“phonons”) belonging to the continuous spectrum. These re- sults demonstrate the ability of the 2D sG model within our finite domain computations to localize energy in long-lived, self-trapped breathing excitations. |
Identificador del proyecto | P18-RT-3480
PID2019-110430GBC21 |
Cita | Kevrekidis, P.G., Carretero-González, R., Cuevas-Maraver, J., Frantzeskakis, D.J., Caputo, J. y Malomed, B.A. (2021). Breather stripes and radial breathers of the two-dimensional sine-Gordon equation. Communications in Nonlinear Science and Numerical Simulation, 94 (march), 105596-. |
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