The two-component Camassa-Holm equations CH(2,1) and CH(2,2): First-order integrating factors and conservation laws

Publikation: Forskning - peer-reviewKonferensartikel i tidskrift

  • Brock University
Recently, Holm and Ivanov, proposed and studied a class of multi-component generalisations of the Camassa-Holm equations [D D Holm and R I Ivanov, Multi-component generalizations of the CH equation: geometrical aspects, peakons and numerical examples, [J. Phys A: Math. Theor, vol. 43, 492001 (20pp), 2010]. We consider two of those systems, denoted by Holm and Ivanov by CH(2,1) and CH(2,2), and report a class of integrating factors and its corresponding conservation laws for these two systems. In particular, we obtain the complete sent of first-order integrating factors for the systems in Cauchy-Kovalevskaya form and evaluate the corresponding sets of conservation laws for CH(2,1) and CH(2,2).
SpråkEngelska
TidskriftJournal of Nonlinear Mathematical Physics
Publiceringsdatum2012
Volym19
Tidskriftsnummersupplement 1
Sidor1240002
Sidantal10
ISSN1402-9251
DOI-länkar
StatusPublicerat

Konferens

KonferensMathematical Aspects of Water Waves
LandStorbritannien
OrtLondon
Period15/03/1217/03/12

Evenemang (konferens etc.)

Mathematical Aspects of Water Waves

mar. 15 2012 - mar. 17 2012

London, Storbritannien

Evenemang (konferens etc.): Konferens

Nyckelord