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nlin.SI2000
Trigonometric Calogero-Moser System as a Symmetry Reduction of KP Hierarchy
L. V. Bogdanov, B. G. Konopelchenko, A. Yu. Orlov
Trigonometric non-isospectral flows are defined for KP hierarchy. It is demonstrated that symmetry constraints of KP hierarchy associated with these flows give rise to trigonometri…
nlin.SI2000
Ellipticity Conditions for the Lax Operator of the KP Equations
Giampiero Esposito, Boris G. Konopelchenko
The Lax pseudo-differential operator plays a key role in studying the general set of KP equations, although it is normally treated in a formal way, without worrying about a complet…
nlin.SI2000★ 1 cited
On dbar-problem and integrable equations
B. G. Konopelchenko
Using the dbar-problem and dual dbar-problem, we derive bilinear relations which allows us to construct integrable hierarchies in different parametrizations, their Darboux-Bäcklund…