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

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

1995-01-28

arxiv.org/abs/solv-int/9501007v1

Mathematics

Quantum Algebra

8 pages, LaTeX, to be published in J Phys A, Letters.

Scientific paper

10.1088/0305-4470/28/5/005

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, B\"acklund and Combescure
transformations and exact solutions for these systems are studied.

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