1996/09/24 by L. V. Bogdanov, Bogdanov, L. V., B. G. Konopelchenko +1
Chemistry · #Analytical Chemistry and Chromatography #Axial and Atropisomeric Chirality Synthesis #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Molecular spectroscopy and chirality
paper · pdf · doi:10.48550/arxiv.solv-int/9609009
openalex publication_date 1996/09/24 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
Analytic-bilinear approach for construction and study of integrable hierarchies, in particular, the KP hierarchy is discussed. It is based on the generalized Hirota identity. This approach allows to represent generalized hierarchies of integrable equations in a condensed form of finite functional equations. Resolution of these functional equations leads to the τ-function and addition formulae to it. General discrete transformations of the τ-function are presented in the determinant form. Closed one-form and other formulae also arise naturally within the approach proposed. Generalized KP hierarchy written in terms of different invariants of Combescure symmetry transformations coincides with the usual KP hierarchy and the mKP hierarchy.