Reduction of abelian functions and algebraically integrable systems. I

DOI10.1023/A:1011983313249zbMath1059.14044MaRDI QIDQ1889945

E. D. Belokolos, Viktor Z.Enol'skij

Publication date: 13 December 2004

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

theta functionsJacobianscomplex toricomplex algebraic curvesWeierstrass-Poincaré reducibility

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Special algebraic curves and curves of low genus (14H45) Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Theta functions and curves; Schottky problem (14H42)

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