Korteweg-de Vries hierarchy and related
نویسنده
چکیده
We consider complementary dynamical systems related to stationary Korteweg-de Vries hierarchy of equations. A general approach for finding elliptic solutions is given. The solutions are expressed in terms of Novikov polynomials in general quasi-periodic case. For periodic case these polynomials coincide with Hermite and Lamé polynomials. As byproduct we derive 2 × 2 matrix Lax representation for Rosochatius-Wojciechowski, Rosochatius system, second flow of stationary nonlinear vector Schrödinger equations and complex Neumann systems.
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