Classical W(3) in two-dimensions algebras and its Miura map

Mar, 1993
13 pages
Published in:
  • J.Korean Phys.Soc. 26 (1993) 557-561
e-Print:
Report number:
  • KHTP-93-02,
  • SNUCTP-93-17

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Abstract:
We verify that the fractional KdV equation is a bi-hamiltonian system using the zero curvature equation in SL(3)SL(3) matrix valued Lax pair representation, and explicitly find the closed form for the hamiltonian operators of the system. The second hamiltonian operator is the classical version of the W (2)3W~{(2)}_3 algebra. We also construct systematically the Miura map of W (2)3W~{(2)}_3 algebra using a gauge transformation of the SL(3)SL(3) matrix valued Lax operator in a particular gauge, and construct the modified fractional KdV equaiotn as hamiltonian system.