Genus 4 trigonal reduction of the Benney equations

DOI10.1088/0305-4470/39/14/008zbMath1091.35065OpenAlexW2061727037MaRDI QIDQ5201613

Sadie Baldwin, John Gibbons

Publication date: 19 April 2006

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

Full work available at URL: https://doi.org/10.1088/0305-4470/39/14/008

zbMATH Keywords

conformal mappingdivisorhyperelliptic curvesdispersionless integrable hierarchy

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (11)

Hamiltonian structures of reductions of the Benney system ⋮ The vector nonlinear Schrödinger hierarchy ⋮ Reductions of kinetic equations to finite component systems ⋮ Generalised elliptic functions ⋮ Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity ⋮ Abelian functions for cyclic trigonal curves of genus 4 ⋮ Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\) ⋮ ABELIAN FUNCTIONS FOR TRIGONAL CURVES OF DEGREE FOUR AND DETERMINANTAL FORMULAE IN PURELY TRIGONAL CASE ⋮ The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications ⋮ Deriving bases for abelian functions ⋮ Constructing Benney reductions associated with cyclic \((n,s)\) curves

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