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Zapiski Nauchnykh Seminarov LOMI, 1978, Volume 77, Pages 134–147 (Mi znsl1926)  
This article is cited in 17 scientific papers (total in 18 papers)

Hierarchy of symplectic forms for the Schrödinger and the Dirac equations on a line

P. P. Kulish, A. G. Reiman
Full-text PDF (585 kB) Citations (18)
Abstract: A sequence of symplectic forms have been constructed, relative to each of which the Korteweg–de Vries equation and all its higher analogs are Hamiltonian. The well-known conservation laws serve as the Hamiltonians. An analogous system of forms has been constructed also for a family of equations solvable by use of the inverse scattering problem for the Dirac operator. The results are used in the investigation of the connection between various non-linear evolution equations.
English version:
Journal of Soviet Mathematics, 1983, Volume 22, Issue 5, Pages 1627–1637
DOI: https://doi.org/10.1007/BF01375613
Bibliographic databases:
UDC: 517.958
Language: Russian
Citation: P. P. Kulish, A. G. Reiman, “Hierarchy of symplectic forms for the Schrödinger and the Dirac equations on a line”, Questions of quantum field theory and statistical physics, Zap. Nauchn. Sem. LOMI, 77, "Nauka", Leningrad. Otdel., Leningrad, 1978, 134–147; J. Soviet Math., 22:5 (1983), 1627–1637
Citation in format AMSBIB
\Bibitem{KulRei78}
\by P.~P.~Kulish, A.~G.~Reiman
\paper Hierarchy of symplectic forms for the Schr\"odinger and the Dirac equations on a line
\inbook Questions of quantum field theory and statistical physics
\serial Zap. Nauchn. Sem. LOMI
\yr 1978
\vol 77
\pages 134--147
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1926}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=541699}
\zmath{https://zbmath.org/?q=an:0511.35072|0427.35064}
\transl
\jour J. Soviet Math.
\yr 1983
\vol 22
\issue 5
\pages 1627--1637
\crossref{https://doi.org/10.1007/BF01375613}
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  • https://www.mathnet.ru/eng/znsl/v77/p134
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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