The initial value problem for reductions of the Benney equations

DOI10.1088/0266-5611/16/3/305zbMath0961.35156OpenAlexW1986937269MaRDI QIDQ4493578

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Publication date: 28 May 2001

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/16/3/305

zbMATH Keywords

elliptic curvereductionsLax equationsBenney's equations

Mathematics Subject Classification ID

Related Items (11)

Hamiltonian structures of reductions of the Benney system ⋮ Reductions of kinetic equations to finite component systems ⋮ Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type ⋮ Frobenius manifold for the dispersionless Kadomtsev-Petviashvili equation ⋮ The Benney hierarchy and the Dirichlet boundary problem in two dimensions ⋮ Growth processes related to the dispersionless Lax equations ⋮ Algebro-geometric approach in the theory of integrable hydrodynamic type systems ⋮ Transformations of integrable hydrodynamic chains and their hydrodynamic reductions ⋮ On symmetries of the Gibbons-Tsarev equation ⋮ The Gibbons–Tsarev equation: symmetries, invariant solutions, and applications ⋮ Constructing Benney reductions associated with cyclic \((n,s)\) curves

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