3 papers
nlin.SI2004
The averaging of weakly nonlocal Symplectic Structures
A. Ya. Maltsev
We consider the averaging of the weakly nonlocal Symplectic Structures corresponding to local evolution PDE's in the Whitham method. The averaging procedure gives the weakly nonloc…
nlin.SI2003
On Whitham's Averaging Method
Andrey Ya. Maltsev, Maxim V. Pavlov
We compare Whitham averaging method using Lagrangian and Hamiltonian formalism.
nlin.SI2001
On the compatible weakly-nonlocal Poisson brackets of Hydrodynamic Type
Andrei Ya. Maltsev
We consider the pairs of general weakly non-local Poisson brackets of Hydrodynamic Type (Ferapontov brackets) and the corresponding integrable hierarchies. We show that under the r…