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solv-int1999
Korteweg-de Vries hierarchy and related completely integrable systems: I. Algebro-geometrical approach
N. A. Kostov
We consider complementary dynamical systems related to stationary Korteweg-de Vries hierarchy of equations. A general approach for finding elliptic solutions is given. The solution…
solv-int1999
Nonlinear waves, differential resultant, computer algebra and completely integrable dynamical systems
N. A. Kostov, Z. T. Kostova
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 equa…