Lattice and q-difference Darboux-Zakharov-Manakov systems via $\bar{\partial}$-dressing method
solv-int
2016-09-08 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
q-alg
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.
Cite
@article{arxiv.solv-int/9501007,
title = {Lattice and q-difference Darboux-Zakharov-Manakov systems via $\bar{\partial}$-dressing method},
author = {L. V. Bogdanov and B. G. Konopelchenko},
journal= {arXiv preprint arXiv:solv-int/9501007},
year = {2016}
}
Comments
8 pages, LaTeX, to be published in J Phys A, Letters.