Nonlinear Stability of MKdV Breathers View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-11

AUTHORS

Miguel A. Alejo, Claudio Muñoz

ABSTRACT

Breather solutions of the modified Korteweg-de Vries equation are shown to be globally stable in a naturalH2 topology. Our proof introduces a new Lyapunov functional, at the H2 level, which allows to describe the dynamics of small perturbations, including oscillations induced by the periodicity of the solution, as well as a direct control of the corresponding instability modes. In particular, degenerate directions are controlled using low-regularity conservation laws. More... »

PAGES

233-262

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00220-013-1792-0

DOI

http://dx.doi.org/10.1007/s00220-013-1792-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047198262


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