Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter |
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| Authors: | A Degasperis D Lebedev M Olshanetsky S Pakuliak A Perelomov P Santini |
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| Institution: | (1) Dipartimento di Fisica, Università La Sapienza, P. le Aldo Moro 2, I-00185 Roma;(2) INFN Sezione di Roma, Italy;(3) Present address: Institute for Theoretical and Experimental Physics, SU-117259 Moscow, USSR;(4) Institute for Theoretical Physics, SU-252130 Kiev, USSR;(5) Max-Planck-Institut für Mathematik and Physikalisches Institut der Universität Bonn, W-5300 Bonn 1, Germany |
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| Abstract: | Two new hierarchies, MILW2 and a two-dimensional nonlocal Toda lattice are constructed. The characteristic property of the first one is the connection with the ILW2 hierarchy by means ofgl(2) Miura transformation. On the other hand, MILW2 equations turn out to be symmetry equations for a two-dimensional nonlocal Toda lattice. A new version of the dressing technique with quantized spectral parameter is proposed. |
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