1999/12/06 by L. V. Bogdanov, Bogdanov, L. V., B. G. Konopelchenko +1
Chemistry · Materials Science · Physics and Astronomy · #Dendrimers and Hyperbranched Polymers #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Molecular spectroscopy and chirality #Nonlinear Optical Materials Research #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9912005
18 pages, LaTeX, talk at "Solitons, Collapses and Turbulence: Achievements, Developments and Perspectives" (August 1999, Chernogolovka, Russia)
arxiv created 1999/12/06 · openalex publication_date 1999/12/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Analytic-bilinear approach is used to study continuous and discrete non-isospectral symmetries of the generalized KP hierarchy. It is shown that Möbius symmetry transformation for the singular manifold equation leads to continuous or discrete non-isospectral symmetry of the basic (scalar or multicomponent KP) hierarchy connected with binary Bäcklund transformation. A more general class of multicomponent Möbius-type symmetries is studied. It is demonstrated that symmetry constraints of KP hierarchy defined using multicomponent Möbius-type symmetries give rise to Calogero-Moser system.