Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles. (English) Zbl 0473.35071

Translation from Funkts. Anal. Prilozh. 14, No. 4, 45–54 (1980; Zbl 0462.35080).


35Q53 KdV equations (Korteweg-de Vries equations)
35Q58 Other completely integrable PDE (MSC2000)
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions
37K15 Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems


Zbl 0462.35080
Full Text: DOI


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