Lattice and q-difference Darboux-Zakharov-Manakov systems via ∂-dressing method
Abstract
A general scheme is proposed for introduction of lattice and q-difference variables to integrable hierarchies in frame of ∂-dressing method . Using this scheme, lattice and q-difference Darboux-Zakharov-Manakov systems of equations are derived. Darboux, B\"acklund and Combescure transformations and exact solutions for these systems are studied.
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