3 papers
nlin.SI2002
Projective differential geometry of higher reductions of the two-dimensional Dirac equation
L. V. Bogdanov, E. V. Ferapontov
We investigate reductions of the two-dimensional Dirac equation imposed by the requirement of the existence of a differential operator of order mapping its eigenfunctions…
nlin.SI2001
Quasi-classical $\dbar$-method: Generating equations for dispersionless integrable hierarchies
L. V. Bogdanov, B. G. Konopelchenko, L. Martinez Alonso
The quasi-classical -dressing method is used to derive compact generating equations for dispersionless hierarchies. Dispersionless Kadomtsev-Petviashvili (KP) and t…
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…