4 papers
Prolongation structure of the Krichever-Novikov equation
Sergei Igonin, Ruud Martini
We completely describe Wahlquist-Estabrook prolongation structures (coverings) dependent on u, u_x, u_{xx}, u_{xxx} for the Krichever-Novikov equation u_t=u_{xxx}-3u_{xx}^2/(2u_x)+…
Notes on homogeneous vector bundles over complex flag manifolds
Sergei Igonin
Let P be a parabolic subgroup of a semisimple complex Lie group G defined by a subset Σof simple roots of G, and let E_ϕbe a homogeneous vector bundle over the flag manifold G/P co…
Conservation laws of generalized higher Burgers and linear evolution equations
Sergei Igonin
By the Cole-Hopf transformation, with any linear evolution equation in 1+1 dimensions a generalized Burgers equation is associated. We describe local conservation laws of these equ…
On one-parametric families of Backlund transformations
Sergei Igonin, Joseph Krasil'shchik
In the context of the cohomological deformation theory, infinitesimal description of one-parametric families of Backlund transformations of special type including classical example…