AbstractWe establish a close relationship between hamiltonian systems of hydrodynamic type and hypersurfaces of a pseudoeuclidean space. This correspondence provides a complete classification of the 3 × 3 integrable nondiagonalizable hamiltonian systems, based upon the classification of Dupin hypersurfaces in E4
Abstract. We prove a simple condition under which the metric corresponding to a diagonalizable semi-...
We develop a new method for constructing integrable Hamiltonian hierarchies of Lax type equations, w...
A certain class of integrable hydrodynamic type systems with three independent and N>1 dependent var...
AbstractIsoparametric hypersurface Mn ⊂Sn + 1 can be defined as an intersection of the unit sphere r...
Discrete analogues of important objects and notions in the theory of semi-Hamiltonian systems of hyd...
In the first part of this paper the theory of Frobenius manifolds is applied to the problem of class...
There are reviewed modern investigations devoted to studying nonlinear dispersiveless heavenly type ...
The Hamiltonian structure of the two-dimensional dispersionless Toda hierarchy is studied, this bein...
We characterize non-degenerate Lagrangians of the form∫ f(ux, uy, ut) dx dy dt such that the corresp...
We start from a hyperbolic Dubrovin and Novikov (DN) hydrodynamic-type system of dimension n which p...
We consider the WDVV associativity equations in the four dimensional case. These nonlinear equation...
It is shown that a linear Hamiltonian system on R4 is elliptic or hyperbolic according to the number...
Abstract: It is known that any integrable, possibly degenerate, Hamiltonian system is Hamiltonian re...
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integ...
Abstract. We prove a simple condition under which the metric corresponding to a diagonalizable semi-...
We develop a new method for constructing integrable Hamiltonian hierarchies of Lax type equations, w...
A certain class of integrable hydrodynamic type systems with three independent and N>1 dependent var...
AbstractIsoparametric hypersurface Mn ⊂Sn + 1 can be defined as an intersection of the unit sphere r...
Discrete analogues of important objects and notions in the theory of semi-Hamiltonian systems of hyd...
In the first part of this paper the theory of Frobenius manifolds is applied to the problem of class...
There are reviewed modern investigations devoted to studying nonlinear dispersiveless heavenly type ...
The Hamiltonian structure of the two-dimensional dispersionless Toda hierarchy is studied, this bein...
We characterize non-degenerate Lagrangians of the form∫ f(ux, uy, ut) dx dy dt such that the corresp...
We start from a hyperbolic Dubrovin and Novikov (DN) hydrodynamic-type system of dimension n which p...
We consider the WDVV associativity equations in the four dimensional case. These nonlinear equation...
It is shown that a linear Hamiltonian system on R4 is elliptic or hyperbolic according to the number...
Abstract: It is known that any integrable, possibly degenerate, Hamiltonian system is Hamiltonian re...
The bi-Hamiltonian structure of certain multicomponent integrable systems, generalizations of the di...
In this paper, we apply the differential Galoisian approach to investigate the meromorphic non-integ...
Abstract. We prove a simple condition under which the metric corresponding to a diagonalizable semi-...
We develop a new method for constructing integrable Hamiltonian hierarchies of Lax type equations, w...
A certain class of integrable hydrodynamic type systems with three independent and N>1 dependent var...
DOI
Add to ORKG