Eur. Phys. J. B 29, 255-259 (2002)
https://doi.org/10.1140/epjb/e2002-00296-4

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

Institute of Electronics, Bulgarian Academy of Sciences, Blvd. Tsarigradsko shousse 72, Sofia 1784, Bulgaria

Corresponding author: ^a nakostov@ie.bas.bg

Received: 15 October 2001
Revised: 6 March 2002
Published online: 2 October 2002

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.