153 citations · 902 across the 65 of their papers we have counts for
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nlin.SI2017
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…
nlin.SI2017
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…
nlin.SI2017★ 19 cited
Systems of conservation laws with third-order Hamiltonian structures
E. V. Ferapontov, M. V. Pavlov, R. F. Vitolo
We investigate -component systems of conservation laws that possess third-order Hamiltonian structures of differential-geometric type. The classification of such systems is redu…