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Nonlinear waves, differential resultant, computer algebra and completely integrable dynamical systems

1999/04/16 by N. A. Kostov, Kostov, N. A., Z. T. Kostova +1
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9904015

33 pages, no figures

arxiv created 1999/04/16 · arxiv updated 2009/11/30

Abstract

The hierarchy of integrable equations are considered. The dynamical approach to the theory of nonlinear waves is proposed. The special solutions(nonlinear waves) of considered equations are derived. We use powerful methods of computer algebra such differential resultant and others.

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