Quasi-periodic and periodic solutions for dynamical systems related to Korteweg-de Vries equation |
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| Authors: | NA Kostov |
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| Institution: | (1) Institute of Electronics, Bulgarian Academy of Sciences, Blvd. Tsarigradsko shousse 72, Sofia 1784, Bulgaria, BG |
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| 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.
Received 15 October 2001 / Received in final form 6 March 2002 Published online 2 October 2002
RID="a"
ID="a"e-mail: nakostov@ie.bas.bg |
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| Keywords: | PACS 02 30 Ik Integrable systems – 05 45 -a Nonlinear dynamics and nonlinear dynamical systems – 05 45 Yv Solitons |
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