153 citations · 902 across the 65 of their papers we have counts for
6 papers · 1 filter
On the bi-Hamiltonian Geometry of WDVV Equations
M. V. Pavlov, R. F. Vitolo
We consider the WDVV associativity equations in the four dimensional case. These nonlinear equations of third order can be written as a pair of six component commuting two-dimensio…
Loewner evolution and finite dimensional reductions of integrable systems
Maxim V. Pavlov, Dmitri Prokhorov, Alexander Vasil'ev +1
The Loewner equation is known as a one-dimensional reduction of the Benney chain as well as the dispersionless KP hierarchy. We propose a reverse process showing that time splittin…
Hamiltonian Formalism of Two-Dimensional Vlasov Kinetic Equation
Maxim V. Pavlov
In this paper the two-dimensional Benney system describing long wave propagation of a finite depth fluid motion and the multi-dimensional Russo--Smereka kinetic equation describing…
Integrable Dispersive Chains and Energy Dependent Schrodinger Operator
Maxim V. Pavlov
In this paper we consider integrable dispersive chains associated with the so called Energy Dependent Schrodinger operator. In a general case multi component reductions of these di…
Propagation of nonlinear waves in a rarefied bubbly flow
Alexander A. Chesnokov, Maxim V. Pavlov
The one-dimension Russo--Smereka kinetic equation describing the propagation of nonlinear concentration waves in a rarefied bubbly fluid is considered. Reductions of the model to f…
Projective-geometric aspects of homogeneous third-order Hamiltonian operators
Eugene V. Ferapontov, Maxim V. Pavlov, Raffaele F. Vitolo
We investigate homogeneous third-order Hamiltonian operators of differential-geometric type. Based on the correspondence with quadratic line complexes, a complete list of such oper…