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

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

1999-04-16

arxiv.org/abs/solv-int/9904015v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

33 pages, no figures

Scientific paper

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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