Higher genus hyperelliptic reductions of the Benney equations

DOI10.1088/0305-4470/37/20/007zbMath1168.37321OpenAlexW2014530869MaRDI QIDQ3158661

John Gibbons, Sadie Baldwin

Publication date: 31 January 2005

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

Full work available at URL: http://hdl.handle.net/10044/1/61

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Jacobians, Prym varieties (14H40) Linear first-order PDEs (35F05) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (9)

Hamiltonian structures of reductions of the Benney system ⋮ Reductions of kinetic equations to finite component systems ⋮ Inversion of hyperelliptic integrals of arbitrary genus with application to particle motion in general relativity ⋮ The Benney hierarchy and the Dirichlet boundary problem in two dimensions ⋮ The addition law attached to a stratification of a hyperelliptic Jacobian variety ⋮ On symmetries of the Gibbons-Tsarev equation ⋮ Jacobi inversion on strata of the Jacobian of the \(C_{rs}\) curve \(y^r = f(x)\) ⋮ The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications ⋮ Constructing Benney reductions associated with cyclic \((n,s)\) curves

This page was built for publication: Higher genus hyperelliptic reductions of the Benney equations