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Riemann-Hilbert problem for Camassa-Holm equation with step-like initial data

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F15%3A00237423" target="_blank" >RIV/68407700:21340/15:00237423 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.jmaa.2015.03.059" target="_blank" >http://dx.doi.org/10.1016/j.jmaa.2015.03.059</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.jmaa.2015.03.059" target="_blank" >10.1016/j.jmaa.2015.03.059</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Riemann-Hilbert problem for Camassa-Holm equation with step-like initial data

  • Original language description

    We consider the Cauchy problem for the Camassa-Holm equation. The initial data is supposed to be a step-like function, i.e. it tends to different limits as spatial variable tends to plus or minus infinity. We derive a parametric representation of the solution of the initial value problem in terms of the solution of an associated Riemann-Hilbert problem; this allows to study effectively the long-time asymptotic behavior of the solution by using the nonlinear steepest descent method, at least for two sectors of the (x, t)-half-plane.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2015

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Analysis and Applications

  • ISSN

    0022-247X

  • e-ISSN

  • Volume of the periodical

    429

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    24

  • Pages from-to

    81-104

  • UT code for WoS article

    000354230600005

  • EID of the result in the Scopus database

    2-s2.0-84933181793