Functional Analysis and Its Applications

, Volume 22, Issue 2, pp 121–129 | Cite as

Pseudosymmetries and differential substitutions

  • V. V. Sokolov
Article

Keywords

Functional Analysis Differential Substitution 
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Literature Cited

  1. 1.
    A. M. Vinogradov, I. S. Krasil'shchik, and V. V. Lychagin, Introduction to the Geometry of Nonlinear Differential Equations [in Russian], Nauka, Moscow (1986).Google Scholar
  2. 2.
    N. Kh. Ibragimov, Transformation Groups in Mathematical Physics [in Russian], Nauka, Moscow (1983).Google Scholar
  3. 3.
    S. I. Svinolupov, "Second-order evolution equations admitting symmetries," Usp. Mat. Nauk,40, No. 5, 263–264 (1985).Google Scholar
  4. 4.
    N. H. Ibragimov, "Sur l'équivalence des équations d'évolution, qui admettent une algèbre de Lie—Bäcklund infinie," C. R. Acad. Sci. Paris Ser. 1,293, 657–660 (1981).Google Scholar
  5. 5.
    G. Rosen, "Nonlinear heat conduction in solid H2," Phys. Rev. Ser. B,19, No. 4, 2398–2399 (1979).Google Scholar
  6. 6.
    S. I. Svinolupov, V. V. Sokolov, and R. I. Yamilov, "On Bäcklund transformations for integrable evolution equations," Dokl. Akad. Nauk SSSR,271, No. 4, 802–805 (1983).Google Scholar
  7. 7.
    A. V. Zhiber and A. B. Shabat, "A system of equations ut = p(u, v), vx = q(u, v) possessing symmetries," Dokl. Akad. Nauk SSSR,277, No. 1, 29–33 (1984).Google Scholar
  8. 8.
    V. V. Sokolov, "On the structure of the algebra of symmetries for a one-field evolution equation," Dokl. Akad. Nauk SSSR,294, No. 5, 1065–1069 (1987).Google Scholar
  9. 9.
    V. G. Drinfel'd, S. I. Svinolupov, and V. V. Sokolov, "Classification of evolution equations of order five admitting an infinite series of conservation laws," Dokl. Akad. Nauk UkrSSR, Ser. A, No. 10, 8–10 (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • V. V. Sokolov

There are no affiliations available

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