A geometric study of the dispersionless Boussinesq type equation

DOI10.1007/s10440-006-9034-5zbMath1096.37035arXivnlin/0511012OpenAlexW2063959871MaRDI QIDQ2498377

Yanyan Li

Publication date: 16 August 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0511012

zbMATH Keywords

conservation lawsHamiltonian structuresymmetriessymplectic structureshierarchies

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

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Cites Work

• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• On the integrability conditions for some structures related to evolution differential equations
• On the Vinogradov \({\mathcal C}\)-spectral sequence for determined systems of differential equations
• Hamiltonian operators and \(\ell^*\)-coverings
• Bi-Hamiltonian structures of d-Boussinesq and Benney-Lax equations
• (Non)local Hamiltonian and symplectic structures, recursions and hierarchies: a new approach and applications to theN= 1 supersymmetric KdV equation

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