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Lattice and q-difference Darboux-Zakharov-Manakov systems via $\bar{\partial}$-dressing method

L. V. Bogdanov·B. G. Konopelchenko
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Abstract

A general scheme is proposed for introduction of lattice and q-difference variables to integrable hierarchies in frame of $\bar{\partial}$-dressing method . Using this scheme, lattice and q-difference Darboux-Zakharov-Manakov systems of equations are derived. Darboux, Bäcklund and Combescure transformations and exact solutions for these systems are studied.

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solv-intmath.QAnlin.SIq-alg

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BibTeXRIS

L. V. Bogdanov, B. G. Konopelchenko. 1995-01-28. Lattice and q-difference Darboux-Zakharov-Manakov systems via $\bar{\partial}$-dressing method. https://doi.org/10.1088/0305-4470%2F28%2F5%2F005

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