14 citations · 19 across the 7 of their papers we have counts for
9 papers · 1 filter
Integrability of the Manakov--Santini hierarchy
Maxim V. Pavlov, Jen Hsu Chang, Yu Tung Chen
The first example of the so-called "coupled" integrable hydrodynamic chain is presented. Infinitely many commuting flows are derived. Compatibility conditions of the first two of t…
Integrability of the Gibbons--Tsarev system
M. V. Pavlov
A new approach extracting multi-parametric hydrodynamic reductions for the integrable hydrodynamic chains is presented. The Benney hydrodynamic chain is considered.
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…