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Izvestiya: Mathematics, 1999, Volume 63, Issue 6, Pages 1171–1201
DOI: https://doi.org/10.1070/im1999v063n06ABEH000269 (Mi im269) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Conservation of Hamiltonian structures in Whitham's averaging method

A. Ya. Maltsev

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
English version PDF (577 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/im1999v063n06ABEH000269
Abstract: In this paper we consider Whitham's averaging method for systems with a local field-theoretic Hamiltonian structure. We prove that such a Hamiltonian structure is conserved in the process. The study is based on the procedure (suggested by Dubrovin and Novikov) of averaging the local Poisson bracket, for which we establish the necessary properties of conservation of the Jacobi identity and invariance.
Received: 27.08.1997
Bibliographic databases:
MSC: 58F05
Language: English
Original paper language: Russian
Citation: A. Ya. Maltsev, “Conservation of Hamiltonian structures in Whitham's averaging method”, Izv. Math., 63:6 (1999), 1171–1201
Citation in format AMSBIB
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\by A.~Ya.~Maltsev
\paper Conservation of Hamiltonian structures in Whitham's averaging method
\jour Izv. Math.
\yr 1999
\vol 63
\issue 6
\pages 1171--1201
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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