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Quasi-periodic and periodic solutions for dynamical systems related to Korteweg-de Vries equation

  • N.A. Kostov

Abstract:

We consider quasi-periodic and periodic (cnoidal) wave solutions of a set of n-component dynamical systems related to Korteweg-de Vries equation. Quasi-periodic wave solutions for these systems are expressed in terms of Novikov polynomials. Periodic solutions in terms of Hermite polynomials and generalized Hermite polynomials for dynamical systems related to Korteweg-de Vries equation are found.

PACS. 02.30.Ik Integrable systems – 05.45.-a Nonlinear dynamics and nonlinear dynamical systems – 05.45.Yv Solitons 

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Copyright information

© EDP Sciences, Springer-Verlag 2002

Authors and Affiliations

  • N.A. Kostov
    • 1
  1. 1.Institute of Electronics, Bulgarian Academy of Sciences, Blvd. Tsarigradsko shousse 72, Sofia 1784, BulgariaBG

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