Advertisement

Theoretical and Mathematical Physics

, Volume 42, Issue 3, pp 225–229 | Cite as

On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space

  • A. N. Leznov
Article

Keywords

Differential Equation Partial Differential Equation Nonlinear System Complete Integrability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. 1.
    J. Liouville, J. Math. Pures Appl.,18, 71 (1853); A. R. Forsyth, Theory of Differential Equations, New York (1959).Google Scholar
  2. 2.
    N. N. Bogolyubov, Selected Works, Vol. 2 [in Russian], Naukova Dumka, Kiev (1969); L. D. Landau, Collected Works, Vol. 2 [in Russian], Nauka (1969); H. E. W. Falkenhagen, Electrolytes, Oxford (1934); L. Spitzer, Physics of Fully Ionized Gases, Interscience, New York (1962).Google Scholar
  3. 3.
    A. N. Leznov and M. V. Saveliev, Phys. Lett. B,79, 294 (1978).Google Scholar
  4. 4.
    A. N. Leznov and M. V. Savel'ev, Preprint IFVÉ 78-177 [in Russian], Serpukhov (1978); A. N. Lesnov and M. V. Saveliev, Phys. Lett. B,83, 294 (1979); Lett. Math. Phys.,3, 207 (1979).Google Scholar
  5. 5.
    N. Bourbaki, Éléments de Mathématique, Vol. 34, Groupes et Algèbres de Lie, Hermann, Paris (1968).Google Scholar
  6. 6.
    A. V. Bäcklund, Math. Ann.,9, 297 (1876);17, 285 (1880); Lecture Notes in Math.,15, Bäcklund Transformations, Springer-Verlag, New York (1974).Google Scholar
  7. 7.
    P. C. McCarthy, Lett. Math. Phys.,2, 167 (1977).Google Scholar
  8. 8.
    S. P. Novikov, B. A. Dubrovin, and V. B. Matveev, Usp. Mat. Nauk,31, 55 (1976).Google Scholar
  9. 9.
    A. Zamolodchikov and A. Zamolodchikov, Preprint ITEP-35, Moscow (1978).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • A. N. Leznov

There are no affiliations available

Personalised recommendations