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


Nonlinear Equation Boussinesq Equation Addition Theorem Bilinear Operator SchrSdinger Equation 
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  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

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