The disappearing soliton component of a perturbed sine-Gordon breather

DOI10.1016/S0167-2789(96)00217-5zbMath0885.35114OpenAlexW2005747482MaRDI QIDQ1349374

Nigel J. Burroughs

Publication date: 5 February 1997

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

Full work available at URL: https://doi.org/10.1016/s0167-2789(96)00217-5

zbMATH Keywords

inverse scattering transformoscillationvariational methodperturbed sine-Gordon equationbreatherscattering dataperturbed inverse scattering method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Perturbations in context of PDEs (35B20)

Cites Work

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• Creation of a soliton out of dissipation
• Boundary conditions for integrable equations
• Generation of upstream advancing solitons by moving disturbances
• Integrable boundary conditions for classical sine-Gordon theory
• Variational principle for the Zakharov-Shabat equations