153 citations · 902 across the 65 of their papers we have counts for
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Complete Integrability of a New Class of Hamiltonian Hydrodynamic Type Systems
Zakhar V. Makridin, Maxim V. Pavlov
In this paper we consider a new class of Hamiltonian hydrodynamic type systems, whose conservation laws are polynomial with respect to one of field variables.
Recursion operators and the hierarchies of MKdV equations related to , and Kac-Moody algebras
V. S. Gerdjikov, A. A. Stefanov, I. D. Iliev +4
We constructed the three nonequivalent gradings in the algebra . The first one is the standard one obtained with the Coxeter automorphism $C_1=S_{α_2} S_{α_1}S_{α…
Integrable Dispersive Chains and Their Multi-Phase Solutions
Michal Marvan, Maxim V. Pavlov
In this paper we construct multi-phase solutions for integrable dispersive chains associated with the three-dimensional linearly degenerate Mikhalev system of first order. These so…
Integrability of Exceptional Hydrodynamic Type Systems
Maxim V. Pavlov
In this paper we consider non-diagonalisable hydrodynamic type systems integrable by the Extended Hodograph Method. We restrict our consideration to non-diagonalisable hydrodynamic…
A new class of solutions for the multi-component extended Harry Dym equation
Michal Marvan, Maxim V. Pavlov
We construct a point transformation between two integrable systems, the multi-component Harry Dym equation and the multi-component extended Harry Dym equation, that does not preser…
Multi-Dimensional Conservation Laws and Integrable Systems
Zakhar V. Makridin, Maxim V. Pavlov
In this paper we introduce a new property of two-dimensional integrable systems -- existence of infinitely many local three-dimensional conservation laws for pairs of integrable tw…