Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles

Author:

Krichever I. M.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference18 articles.

1. H. Bateman and A. Erdelyi, Higher Transcendental Functions. Elliptic and Automorphic Functions, Lamé and Mathieu Functions [Russian translation], Nauka, Moscow (1967).

2. F. Calogero, "Exactly solvable one-dimensional many-body systems," Lett. Nuovo Cimento,13, 411?415 (1975).

3. A. M. Perelomov, "Completely integrable classical systems connected with semisimple Lie algebras," Lett. Math. Phys.,1, 531?540 (1977).

4. H. Airault, H. McKean, and J. Moser, "Rational and elliptic solutions of the KdV equation and related many-body problem," Commun. Pure Appl. Math.,30, 95?125 (1977).

5. I. M. Krichever, "Rational solutions of the Kadomtsev?Petviashvili equation and integrable systems of N particles on a line," Funkts. Anal. Prilozhen.,12, No. 1, 76?78 (1978).

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