A genus six cyclic tetragonal reduction of the Benney equations

DOI10.1088/1751-8113/42/37/375202zbMath1184.14059arXiv0903.5203OpenAlexW3100488531WikidataQ62735790 ScholiaQ62735790MaRDI QIDQ3648221

Matthew England, John Gibbons

Publication date: 24 November 2009

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.5203

zbMATH Keywords

reductionalgebraic curveabelian integralsBenney's equationsKleinian functionsSchwartz-Christoffel map

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Relationships between algebraic curves and integrable systems (14H70) Analytic theory of abelian varieties; abelian integrals and differentials (14K20) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08) Theta functions and curves; Schottky problem (14H42) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Holomorphically convex complex spaces, reduction theory (32E05)

Related Items (6)

Reductions of kinetic equations to finite component systems ⋮ Generalised elliptic functions ⋮ On the equivariant algebraic Jacobian for curves of genus two ⋮ A generalization of Baker's quadratic formulae for hyperelliptic \(\wp\)-functions ⋮ The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications ⋮ Deriving bases for abelian functions

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