A Lagrangian View on Complete Integrability of the Two-Component Camassa–Holm System

Autor:	Jonathan Eckhardt, Katrin Grunert
Jazyk:	angličtina
Rok vydání:	2017
Předmět:	isospectral problem Nonlinear Sciences - Exactly Solvable and Integrable Systems Integrable system 010102 general mathematics FOS: Physical sciences Eulerian path First order system 01 natural sciences Primary 37K10 34B05 Secondary 35Q53 37K15 010101 applied mathematics Lagrangian variables symbols.namesake Lagrangian and Eulerian specification of the flow field Mathematics - Analysis of PDEs Isospectral Component (UML) FOS: Mathematics symbols Exactly Solvable and Integrable Systems (nlin.SI) 0101 mathematics Lagrangian Analysis of PDEs (math.AP) Mathematical physics Mathematics two-component Camassa–Holm system
DOI:	10.1093/integr/xyx002
Popis:	We show how the change from Eulerian to Lagrangian coordinates for the two-component Camassa-Holm system can be understood in terms of certain reparametrizations of the underlying isospectral problem. The respective coordinates correspond to different normalizations of an associated first order system. In particular, we will see that the two-component Camassa-Holm system in Lagrangian variables is completely integrable as well. 12 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf9bdc560f974aa6b53b3050e36449a2 https://doi.org/10.1093/integr/xyx002 Zobrazit plný text záznamu