Work

The averaging of nonlocal Hamiltonian structures in Whitham′s method

Year: 2002

Type: article

Abstract: We consider the m‐phase Whitham′s averaging method and propose the procedure of “averaging” nonlocal Hamiltonian structures. The procedure is based on the existence of a sufficient number of local‐commuting integrals of the system and gives the Poisson bracket of Ferapontov type for Whitham′s system. The method can be considered as the generalization of the Dubrovin‐Novikov procedure for the local field‐theoretical brackets.

Source: International Journal of Mathematics and Mathematical Sciences

DOI: 10.1155/s0161171202106120

Author: Andrei Ya. Maltsev

Institutions: Scuola Internazionale Superiore di Studi Avanzati, Landau Institute for Theoretical Physics

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,240

Funder: Russian Foundation for Basic Research