Breather stripes and radial breathers of the two-dimensional sine-Gordon equation

DOI10.1016/j.cnsns.2020.105596zbMath1453.76029arXiv2007.13222OpenAlexW3044616559MaRDI QIDQ2213540

Jean-Guy Caputo, R. Carretero-González, Boris A. Malomed, Panayotis G. Kevrekidis, Jesús Cuevas, Dimitrios J. Frantzeskakis

Publication date: 2 December 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13222

zbMATH Keywords

solitary waveFloquet spectrummodulational instabiitymulti-scale perturbation theory

Mathematics Subject Classification ID

Nonlinear effects in hydrodynamic stability (76E30) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51)

Related Items (4)

A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics ⋮ An envelope system with third order dispersion: `unconventional' modulation instability and Floquet analysis ⋮ Noise-induced, ac-stabilized sine-Gordon breathers: emergence and statistics ⋮ A class of weighted energy-preserving Du Fort-Frankel difference schemes for solving sine-Gordon-type equations

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• The Development of Variable-Step Symplectic Integrators, with Application to the Two-Body Problem
• Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit
• Breather$ndash$phonon resonances in finite-size lattices: $lquot$phantom breathers$rquot$?
• Discrete breathers and Anderson modes: two faces of the same phenomenon?

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