4 citations · 5 across the 5 of their papers we have counts for
7 papers
The Boussinesq equation and Miura type transformations
Maxim Pavlov
A direct method for calculation of Miura type transformations via LA pair is used for the Boussinesq equation. Quadratic Miura type transformations connected with local weakly-nonl…
Description of compatible differential-geometric Poisson brackets of the first order
Maxim Pavlov
Compatible local differential-geometric Poisson brackets of the first order (Dubrovin-Novikov type) are classified by solutions of modified Sinh-Gordon equation. It was proved by E…
On Whitham's Averaging Method
Andrey Ya. Maltsev, Maxim V. Pavlov
We compare Whitham averaging method using Lagrangian and Hamiltonian formalism.
Tri-Hamiltonian Structures of The Egorov Systems
M. V. Pavlov, S. P. Tsarev
The description of the Egorov hydrodynamic type systems is presented in language of conservation laws. Under extra conditions of semisimplicity and homogeneity tri-Hamiltonian stru…
On Equation for Initial Values in Theory of the Second Order Ordinary Differential Equations
Valerii S. Dryuma, Maxim Pavlov
We consider the properties of the second order nonlinear differential equations b''= g(a,b,b') with the function g(a,b,b'=c) satisfying the following nonlinear partial differential…
The Calogero equation and Liouville type equations
Maxim Pavlov
In this paper we present a two-component generalization of the C-integrable Calogero equation (see [1]). This system is C-integrable as well, and moreover we show that the Calogero…