108 citations · 243 across the 23 of their papers we have counts for
23 papers
Open level lines of a superposition of periodic potentials on a plane
A. Ya. Maltsev, S. P. Novikov
We consider here open level lines of potentials resulting from the superposition of two different periodic potentials on the plane. This problem can be considered as a particular c…
Poisson brackets of hydrodynamic type and their generalizations
A. Ya. Maltsev, S. P. Novikov
In this paper, we consider Hamiltonian structures of hydrodynamic type and some of their generalizations. In particular, we discuss the questions concerning the structure and speci…
Quasiperiodic functions on the plane and electron transport phenomena
Roberto De Leo, Andrei Ya. Maltsev
While quasiperiodic functions in one variable appeared in applications since Eighteen hundreds, for example in connection with the trajectories of mechanical systems with 2n degres…
On the canonical forms of the multi-dimensional averaged Poisson brackets
A. Ya. Maltsev
We consider here special Poisson brackets given by the "averaging" of local multi-dimensional Poisson brackets in the Whitham method. For the brackets of this kind it is natural to…
On the minimal set of conservation laws and the Hamiltonian structure of the Whitham equations
A. Ya. Maltsev
We consider the questions connected with the Hamiltonian properties of the Whitham equations in case of several spatial dimensions. An essential point of our approach here is a con…
The averaging of multi-dimensional Poisson brackets for systems having pseudo-phases
A. Ya. Maltsev
We consider features of the Hamiltonian formulation of the Whitham method in the presence of pseudo-phases. As we show, an analog of the procedure of averaging of the Poisson brack…