Skip to main content
SpringerLink
Log in

2 + 1 Toda chain. I. Inverse scattering method

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. A. V. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz.,39, 443 (1979).

    Google Scholar 

  2. A. V. Mikhailov, Physica (Utrecht) D,3, 73 (1981).

    Google Scholar 

  3. A. V. Mikhailov, M. A. Olshanetsky, and A. M. Perelomov, Commun. Math. Phys.,79, 473 (1981).

    Google Scholar 

  4. A. N. Leznov and M. A. Saveliev, Lett. Math. Phys.,3, 489 (1979).

    Google Scholar 

  5. V. B. Matveev, Lett. Math. Phys.,3, 217 (1979).

    Google Scholar 

  6. V. B. Matveev and M. A. Sall', Zap. Nauchn. Semin. LOMI,101, 111 (1981).

    Google Scholar 

  7. M. A. Sall', Teor. Mat. Fiz.,53, 227 (1982).

    Google Scholar 

  8. M. V. Babich, V. B. Matveev, and M. A. Sall', Zap. Nauchn. Semin. LOMI,145, 34 (1985).

    Google Scholar 

  9. L. A. Takhtadzhyan and L. D. Faddeev, Hamiltonian Approach in Soliton Theory [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  10. L. D. Faddeev, in: Modern Problems of Mathematics, Vol. 3 [in Russian], VINITI, Moscow (1974), p. 93.

    Google Scholar 

  11. V. E. Zakharov and S. V. Manakov, Sov. Sci. Rev.,1, 133 (1979).

    Google Scholar 

  12. S. V. Manakov, Physica (Utrecht) D,3, 420 (1981).

    Google Scholar 

  13. A. S. Fokas and M. J. Ablowitz, Stud. Appl. Math.,69, 211 (1983).

    Google Scholar 

  14. M. J. Ablowitz, D. Bar Iaakov, and A. S. Fokas, Stud. Appl. Math.,62 135 (1983).

    Google Scholar 

  15. L. Hörmander, An Introduction to Complex Analysis in Several Variables, North-Holland, Amsterdam (1973).

    Google Scholar 

  16. W. Rudin, Function Theory in Polydiscs, New York (1969).

  17. R. Beals and R. Coifman, Séminaire Goulaoric-Meyer-Schwartz, 1980–81, Exp. No. 22, Ecole Polytechnique, Palaiseau.

  18. A. J. Nachman and M. J. Ablowitz, Stud. Appl. Math.,71, 243 (1984).

    Google Scholar 

  19. V. E. Zakharov and S. V. Manakov, Zap. Nauchn. Semin. LOMI,133, 77 (1984).

    Google Scholar 

  20. V. E. Zakharov and S. V. Manakov, Funktsional. Analiz i Ego Prilozhen.,19, 11 (1985).

    Google Scholar 

  21. A. S. Fokas and M. J. Ablowitz, J. Math. Phys.,25, 2494 (1984).

    Google Scholar 

  22. P. G. Grinevich and R. G. Novikov, Funktsional. Analiz i Ego Prilozhen.,19 32 (1985).

    Google Scholar 

  23. P. G. Grinevich and S. V. Manakov, Funktsional. Analiz i Ego Prilozhen.,20, 14 (1986).

    Google Scholar 

  24. P. G. Grinevich and R. G. Novikov, Dokl. Akad. Nauk SSSR,286, 19 (1986).

    Google Scholar 

  25. R. G. Novikov, Teor. Mat. Fiz.,66, 234 (1986).

    Google Scholar 

  26. O. Ragnisko, M. Santini, S. Chitlaru Briggs, and M. J. Ablowitz, “An example of ∂-problem arising in a finite difference context: direct and inverse problem for discrete analog of the equation ψxx + uψ = σψy”, Preprint No. 488, Universitá di Roma La Sapienza, Rome (1985).

    Google Scholar 

  27. V. D. Lipovskii, Dokl. Akad. Nauk SSSR,286, 334 (1986).

    Google Scholar 

  28. V. A. Arkad'ev, A. K. Pogrebkov, and M. K. Polivanov, Zap. Nauchn. Semin. LOMI,133, 17 (1984).

    Google Scholar 

  29. A. K. Pogrebkov and M. K. Polivanov, Sov. Sci. Rev., Ser. C. Rev. Math. Phys.,5, 120 (1985).

    Google Scholar 

  30. S. V. Manakov and V. E. Zakharov, Lett. Math. Phys.,5, 247 (1981).

    Google Scholar 

Download references

Authors
  1. V. D. Lipovskii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. V. Shirokov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Leningrad State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 75, No. 3, pp. 323–339, June, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lipovskii, V.D., Shirokov, A.V. 2 + 1 Toda chain. I. Inverse scattering method. Theor Math Phys 75, 555–566 (1988). https://doi.org/10.1007/BF01036254

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01036254

Keywords

Search

Navigation