Functional Analysis and Its Applications

, Volume 14, Issue 1, pp 19–28 | Cite as

Evolutionary equations with nontrivial Lie - Bäcklund group

  • N. Kh. Ibragimov
  • A. B. Shabat


Functional Analysis Evolutionary Equation 
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Literature Cited

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    N. Kh. Ibragimov and A. B. Shabat, "The Korteweg—de Vries equation from the group point of view," Dokl. Akad. Nauk SSSR,244, No. 1, 56–61 (1979).Google Scholar
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    R. L. Anderson and N. H. Ibragimov, "Lie—Bäcklund transformations in applications," SIAM (1978).Google Scholar
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    N. Kh. Ibragimov, "The theory of groups of Lie—Bäcklund transformations," Mat. Sb.,109, 229–253 (1979).Google Scholar
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    C. S. Gardner, "Korteweg—de Vries equation and generalizations. VI," J. Math. Phys.,12, No. 8, 1548–1551 (1971).Google Scholar
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    S. V. Manakov, "Complete integrability and stochastization in discrete dynamic systems," Zh. Eksp. Teor. Fiz.,67, No. 2, 543–555 (1974).Google Scholar
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    R. M. Miura, "Korteweg—de Vries equation and generalizations. I," J. Math. Phys.,9, No. 8, 1202–1204 (1968).Google Scholar
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    E. Goursat, "Le probleme de Bäcklund," Memorial des sciences mathematiques, Fasc. VI, Gauthier-Villars, Paris (1925).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • N. Kh. Ibragimov
  • A. B. Shabat

There are no affiliations available

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