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Funktsional'nyi Analiz i ego Prilozheniya, 2009, Volume 43, Issue 4, Pages 87–90
DOI: https://doi.org/10.4213/faa2954 (Mi faa2954) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

Three Series of Invariant Manifolds of the Sawada–Kotera Equation

Yu. Yu. Bagderina

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (130 kB) Citations (5)
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DOI: https://doi.org/10.4213/faa2954
Abstract: We find a new infinite sequence of invariant manifolds for the Sawada–Kotera equation, in addition to the known two sequences of its symmetries and conservation laws. The elements of these three sequences are related cyclically by recursion relations similar to the Lenard formula for the KdV equation. For any $n>0$, there are two invariant manifolds of order $2n$, which allows one to construct two $n$-soliton solutions of the Sawada–Kotera equation.
Keywords: evolution equation, invariant manifold, symmetry, conservation law, soliton solution.
Received: 14.03.2008
English version:
Functional Analysis and Its Applications, 2009, Volume 43, Issue 4, Pages 312–315
DOI: https://doi.org/10.1007/s10688-009-0038-6
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. Yu. Bagderina, “Three Series of Invariant Manifolds of the Sawada–Kotera Equation”, Funktsional. Anal. i Prilozhen., 43:4 (2009), 87–90; Funct. Anal. Appl., 43:4 (2009), 312–315
Citation in format AMSBIB
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\by Yu.~Yu.~Bagderina
\paper Three Series of Invariant Manifolds of the Sawada--Kotera Equation
\jour Funktsional. Anal. i Prilozhen.
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\issue 4
\pages 87--90
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\transl
\jour Funct. Anal. Appl.
\yr 2009
\vol 43
\issue 4
\pages 312--315
\crossref{https://doi.org/10.1007/s10688-009-0038-6}
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  • https://www.mathnet.ru/eng/faa/v43/i4/p87
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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