Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1996-06-20
Nonlinear Sciences
Exactly Solvable and Integrable Systems
17 pages, LaTeX
Scientific paper
10.1088/0305-4470/30/5/022
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.
Bogdanov L. V.
Konopelchenko Boris. G.
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