153 citations · 902 across the 65 of their papers we have counts for
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nlin.SI2002★ 39 cited
Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems
E. V. Ferapontov, M. V. Pavlov
Reciprocal transformations of Hamiltonian operators of hydrodynamic type are investigated. The transformed operators are generally nonlocal, possessing a number of remarkable algeb…
nlin.SI2002★ 29 cited
On generating functions in the AKNS hierarchy
A. M. Kamchatnov, M. V. Pavlov
It is shown that the self-induced transparency equations can be interpreted as a generating function for as positive so negative flows in the AKNS hierarchy. Mutual commutativity o…
nlin.SI2002
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…