Ivanov, Rossen I. Extended Camassa-Holm hierarchy and conserved quantities. (English) Zbl 1186.37079 Z. Nat.forsch., A: Phys. Sci. 61, No. 3-4, 133-138 (2006). Summary: An extension of the Camassa-Holm hierarchy is constructed in this paper. The conserved quantities of the hierarchy are studied and a recurrent formula for the integrals of motion is derived. Cited in 50 Documents MSC: 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35Q51 Soliton equations 37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems Keywords:conservation laws; Lax pair; integrable systems; solitons PDFBibTeX XMLCite \textit{R. I. Ivanov}, Z. Nat.forsch., A: Phys. Sci. 61, No. 3--4, 133--138 (2006; Zbl 1186.37079) Full Text: DOI arXiv