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Local Nonintegrability of Long—Short Wave Interaction Equations

In: Symmetries of Partial Differential Equations

Author

Listed:
  • A. M. Verbovetsky

    (All-Union Gas Industry Economics, Organization of Production, and Economic Information Research Institute (VNIIEGASPROM))

Abstract

The algebra of higher symmetries and the space of conservation laws for Zakharov’s nonlinear equations of the interaction between long and short waves are completely described. The scheme of computations due to Vinogradov is used. As a result, the local nonintegrability of these equations is proved.

Suggested Citation

  • A. M. Verbovetsky, 1989. "Local Nonintegrability of Long—Short Wave Interaction Equations," Springer Books, in: A. M. Vinogradov (ed.), Symmetries of Partial Differential Equations, pages 121-136, Springer.
    • Handle: RePEc:spr:sprchp:978-94-009-1948-8_5
    DOI: 10.1007/978-94-009-1948-8_5
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