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Evolutionary equations with nontrivial Lie - Bäcklund group

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Literature Cited

  1. 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 

  2. R. L. Anderson and N. H. Ibragimov, "Lie—Bäcklund transformations in applications," SIAM (1978).

  3. N. Kh. Ibragimov, "The theory of groups of Lie—Bäcklund transformations," Mat. Sb.,109, 229–253 (1979).

    Google Scholar 

  4. C. S. Gardner, "Korteweg—de Vries equation and generalizations. VI," J. Math. Phys.,12, No. 8, 1548–1551 (1971).

    Google Scholar 

  5. S. V. Manakov, "Complete integrability and stochastization in discrete dynamic systems," Zh. Eksp. Teor. Fiz.,67, No. 2, 543–555 (1974).

    Google Scholar 

  6. R. M. Miura, "Korteweg—de Vries equation and generalizations. I," J. Math. Phys.,9, No. 8, 1202–1204 (1968).

    Google Scholar 

  7. E. Goursat, "Le probleme de Bäcklund," Memorial des sciences mathematiques, Fasc. VI, Gauthier-Villars, Paris (1925).

    Google Scholar 

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Institute of Hydrodynamics, Siberian Branch, Academy of Sciences of the USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 14, No. 1, pp. 25–36, January–March, 1980.

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Ibragimov, N.K., Shabat, A.B. Evolutionary equations with nontrivial Lie - Bäcklund group. Funct Anal Its Appl 14, 19–28 (1980). https://doi.org/10.1007/BF01078410

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  • DOI: https://doi.org/10.1007/BF01078410

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