1999/04/16 by N. A. Kostov, Kostov, N. A.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Numerical methods for differential equations #nlin.SI #solv-int
paper · pdf · doi:10.48550/arxiv.solv-int/9904016
31 pages, no figures
arxiv created 1999/04/16 · openalex publication_date 1999/04/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 quais-periodic case. For periodic case these polynomials coincide with Hermite and Lamé polynomials. As byproduct we derive 2× 2 matrix Lax representation for Rosochatius-Wojciechiwski, Rosochatius, second flow of stationary nonlinear vectro Schrödinger equations and complex Neumann system.