A 3-component extension of the Camassa-Holm hierarchy
نویسندگان
چکیده
One of the many remarkable facts concerning the theory of integrable PDEs is that almost all these equations can be obtained as suitable reductions from (integrable) hierarchies living on loop-algebras. The main example is the Drinfeld-Sokolov reduction [12], leading from (the loop-algebra of) a simple Lie algebra g to the so-called generalized Korteweg-deVries (KdV) equations. It is well-known (see, e.g., [11]) that the choice g = sl(n) gives rise to the
منابع مشابه
Extended Camassa-Holm Hierarchy and Conserved Quantities
An extension of the Camassa-Holm hierarchy is constructed in this letter. The conserved quantities of the hierarchy are studied and a recurrent formula for the integrals of motion is derived. PACS: 02.30.Ik; 05.45.Yv; 45.20.Jj; 02.30.Jr.
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