On periodic solutions for a reduction of Benney chain
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Publication:1049600
DOI10.1007/s00030-009-0032-yzbMath1182.35014arXiv0804.2187OpenAlexW2077605403MaRDI QIDQ1049600
Publication date: 13 January 2010
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.2187
Shocks and singularities for hyperbolic equations (35L67) Periodic solutions to PDEs (35B10) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)
Related Items (7)
Integrable magnetic geodesic flows on 2-surfaces * ⋮ Smooth solutions for a \(p\)-system of mixed elliptic-hyperbolic type ⋮ New semi-Hamiltonian hierarchy related to integrable magnetic flows on surfaces ⋮ Nijenhuis geometry. III: \(\mathrm{gl}\)-regular Nijenhuis operators ⋮ In search of periodic solutions for a reduction of the Benney chain ⋮ Integrable magnetic geodesic flows on 2-torus: new examples via quasi-linear system of PDEs ⋮ Richness or semi-Hamiltonicity of quasi-linear systems that are not in evolution form
Cites Work
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- Hopf-type rigidity for Newton equations
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- Poincaré - Melnikov - Arnold method for analytic planar maps
- Geometric theory of meromorphic functions
- THE GEOMETRY OF HAMILTONIAN SYSTEMS OF HYDRODYNAMIC TYPE. THE GENERALIZED HODOGRAPH METHOD
- Classification of integrable hydrodynamic chains and generating functions of conservation laws
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