15 citations · 93 across the 16 of their papers we have counts for
4 papers · 1 filter
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 for multidimensional systems and related linear algebra problems
Sergei Igonin
We consider multidimensional systems of PDEs of generalized evolution form with t-derivatives of arbitrary order on the left-hand side and with the right-hand side dependent on low…
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…