2006/04/30 by Laura Fontanelli, Paolo Lorenzoni, Marco Pedroni · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.1007/s11005-006-0109-z
15 pages; minor changes; to appear in Letters in Mathematical Physics
arxiv created 2006/09/04 · openalex publication_date 2006/09/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We introduce a bi-Hamiltonian hierarchy on the loop-algebra of sl(2) endowed with a suitable Poisson pair. It gives rise to the usual CH hierarchy by means of a bi-Hamiltonian reduction, and its first nontrivial flow provides a 3-component extension of the CH equation.