Advertisement

Siberian Mathematical Journal

, Volume 39, Issue 5, pp 973–976 | Cite as

A special addition theorem for theta-functions and nonlinear equations

  • R. K. Romanovskiî
  • S. G. Sadovnichuk
Article
  • 15 Downloads

Keywords

Nonlinear Equation Boussinesq Equation Addition Theorem Bilinear Operator SchrSdinger Equation 
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.

References

  1. 1.
    B. A. Dubrovin, “Theta functions and nonlinear equations, “Uspekhi Mat. Nauk,36, No. 2, 11–80 (1981).MathSciNetGoogle Scholar
  2. 2.
    B. A. Dubrovin and S. M. Natanzon, “Real two-gap solutions of the sine-Gordon equation,” Funktsional. Anal. i Prilozhen.,16, No. 1, 27–43 (1982).CrossRefMathSciNetGoogle Scholar
  3. 3.
    B. A. Dubrovin, I. M. Krichever, and S. P. Novikov, “Integrable systems,” in: Contemporary Problems of Mathematics. Fundamental Trends [in Russian], VINITI, Moscow, 1985, pp. 179–284. (Itogi Nauki i Tekhniki;4.)Google Scholar
  4. 4.
    D. Mumford, Tata Lectures on Theta [Russian translation], Mir, Moscow (1988).Google Scholar
  5. 5.
    R. Hirota, “Direct methods in soliton theory,” in: Solitons [Russian translation], Mir, Moscow, 1983, pp. 175–192.Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • R. K. Romanovskiî
  • S. G. Sadovnichuk

There are no affiliations available

Personalised recommendations