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 email@example.com
Revised: 6 March 2002
Published online: 2 October 2002
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
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002