Reduction of Abelian functions and algebraically integrable systems. II

DOI10.1023/A:1012800600273zbMath1059.14045OpenAlexW1601071333MaRDI QIDQ1889948

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)

Full work available at URL: https://doi.org/10.1023/a:1012800600273

zbMATH Keywords

elliptic functionsalgebraic curvessoliton equationsintegrable Hamiltonian systemsreduction theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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)

Related Items

The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth Painlevé equation and to finite-gap potentials ⋮ Two-loop string theory on null compactifications ⋮ A direct method to find solutions of some type of coupled Korteweg-de Vries equations using hyperelliptic functions of genus two ⋮ On the link between the Sparre equation and Darboux-Treibich-Verdier equation ⋮ Systems of polynomial equations defining hyperelliptic \(d\)-osculating covers ⋮ Tangential polynomials and matrix KdV elliptic solitons ⋮ Integrable variational equations of non-integrable systems ⋮ Integral representation of solutions to Fuchsian system and Heun's equation ⋮ Root asymptotics of spectral polynomials for the Lamé operator ⋮ Two relaxation times and thermal nonlinear waves along wires with lateral heat exchange ⋮ The Heun equation and the Calogero-Moser-Sutherland system. IV: The Hermite-Krichever ansatz

This page was built for publication: Reduction of Abelian functions and algebraically integrable systems. II