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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 6, Pages 1032–1044 (Mi zvmmf457)  
This article is cited in 1 scientific paper (total in 1 paper)

Numerical analysis of the Toda lattice equations

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: Numerical solutions to three systems of integrable evolutionary equations from the Toda lattice hierarchy are analyzed. These are the classical Toda lattice, the second local dispersive flow, and the second extended dispersive flow. Special attention is given to the properties of soliton solutions. For the equations of the second local flow, two types of solitons interacting in a special manner are found. Solutions corresponding to various initial data are qualitatively outlined.
Key words: Toda lattice equations, numerical analysis, soliton solutions, dispersive flows.
Received: 28.02.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 6, Pages 983–994
DOI: https://doi.org/10.1134/S0965542506060078
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: S. P. Popov, “Numerical analysis of the Toda lattice equations”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1032–1044; Comput. Math. Math. Phys., 46:6 (2006), 983–994
Citation in format AMSBIB
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\by S.~P.~Popov
\paper Numerical analysis of the Toda lattice equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 6
\pages 1032--1044
\mathnet{http://mi.mathnet.ru/zvmmf457}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2285363}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 6
\pages 983--994
\crossref{https://doi.org/10.1134/S0965542506060078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746106433}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:60
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