M. V. Pavlov

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20012026

most citedMulti-Lagrangians for Integrable Systems

31 citations · 107 across the 11 of their papers we have counts for

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math-ph2016★ 5 cited

Remarks on the Lagrangian representation of bi-Hamiltonian equations

M. V. Pavlov, R. F. Vitolo

The Lagrangian representation of multi-Hamiltonian PDEs has been introduced by Y. Nutku and one of us (MVP). In this paper we focus on systems which are (at least) bi-Hamiltonian b…

math-ph2015★ 18 cited

Towards the classification of homogeneous third-order Hamiltonian operators

E. V. Ferapontov, M. V. Pavlov, R. F. Vitolo

Let $V$ be a vector space of dimension $n + 1$ . We demonstrate that $n$ -component third-order Hamiltonian operators of differential-geometric type are parametrised by the algebraic v…