Generalized integrable hierarchies and Combescure symmetry transformations
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
Abstract
Unifying hierarchies of integrable equations are discussed. They are constructed via generalized Hirota identity. It is shown that the Combescure transformations, known for a long time for the Darboux system and having a simple geometrical meaning, are in fact the symmetry transformations of generalized integrable hierarchies. Generalized equation written in terms of invariants of Combescure transformations are the usual integrable equations and their modified partners. The KP-mKP, DS-mDS hierarchies and Darboux system are considered.
Cite
@article{arxiv.solv-int/9606007,
title = {Generalized integrable hierarchies and Combescure symmetry transformations},
author = {L. V. Bogdanov and B. G. Konopelchenko},
journal= {arXiv preprint arXiv:solv-int/9606007},
year = {2009}
}
Comments
17 pages, LaTeX