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

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>

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
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
—

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)

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)