A 3-component extension of the Camassa-Holm hierarchy

نویسندگان

  • Laura Fontanelli
  • Paolo Lorenzoni
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

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تاریخ انتشار 2008