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Theoretical and Mathematical Physics

, Volume 120, Issue 1, pp 834–839 | Cite as

New example of a nonlinear hyperbolic equation possessing integrals

  • A. V. Zhiber
  • V. V. Sokolov
Article

Abstract

We discover an important new case in the classical problem of the classification of nonlinear hyperbolic equations possessing integrals. In the general (least degenerate) case, in addition, we obtain a formula describing the splitting of the right-hand side of such equations with respect to the first derivatives.

Keywords

Arbitrary Function Point Change Full Derivative Integrable Nonlinear Equation Liouville Type 
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.

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • A. V. Zhiber
    • 1
  • V. V. Sokolov
    • 2
  1. 1.Institute for MechanicsUfa Science Center, RASUfaRussia
  2. 2.Landau Institute for Theoretical Physics, RASChernogolovkaRussia

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