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- W76521013 abstract "The general approach to chain equations derivation for the function generated by a Miura transformation analog is developing to account evolution (second Lax equation) and illustrated for Sturm-Liouville differential and difference operators. Polynomial differential operators case is investigated. Covariant sets of potentials are introduced by a periodic chain closure. The symmetry of the system of equation with respect to permutations of the potentials is used for the direct construction of solutions of the chain equations. A time evolution associated with some Lax pair is incorporated in the approach via closed t-chains. Both chains are combined in equations of a hydrodynamic type. The approach is next developed to general Zakharov-Shabat differential and difference equations, the example of 2x2 matrix case and NS equation is traced." @default.
- W76521013 created "2016-06-24" @default.
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- W76521013 date "2005-04-01" @default.
- W76521013 modified "2023-09-27" @default.
- W76521013 title "Darboux-covariant differential-difference operators and dressing chains" @default.
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