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SIAM Journal on Mathematical Analysis
Article . 2009 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2009
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Article . 2020
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Long-time Asymptotics for the Camassa–Holm Equation

Authors: Anne Boutet de Monvel; Aleksey Kostenko; Dmitry Shepelsky; Gerald Teschl;

Long-time Asymptotics for the Camassa–Holm Equation

Abstract

We apply the method of nonlinear steepest descent to compute the long-time asymptotics of the Camassa-Holm equation for decaying initial data, completing previous results by A. Boutet de Monvel and D. Shepelsky.

30 pages

Country
Austria
Keywords

1010 Mathematics, Mathematics - Analysis of PDEs, Nonlinear Sciences - Exactly Solvable and Integrable Systems, 1010 Mathematik, FOS: Mathematics, FOS: Physical sciences, Mathematical Physics (math-ph), Exactly Solvable and Integrable Systems (nlin.SI), Mathematical Physics, Analysis of PDEs (math.AP)

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    181
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 1%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
181
Top 1%
Top 1%
Top 10%
Green
bronze