Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems
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Publication:1917360
DOI10.1016/0926-2245(95)00022-4zbMath0872.53005OpenAlexW2013798651WikidataQ115362555 ScholiaQ115362555MaRDI QIDQ1917360
Publication date: 7 July 1996
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0926-2245(95)00022-4
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) First-order nonlinear hyperbolic equations (35L60) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)
Related Items (15)
On the \(N\)-wave equations and soliton interactions in two and three dimensions ⋮ The WDVV associativity equations as a high-frequency limit ⋮ Systems of conservation laws with third-order Hamiltonian structures ⋮ New explicit solutions to the \(p\)-Laplace equation based on isoparametric foliations ⋮ On the Caudrey-Beals-Coifman System and the Gauge Group Action ⋮ Moment maps of the spin action and the Cartan-Münzner polynomials of degree four ⋮ Moment map of the spin action and the Cartan-Münzner polynomials ⋮ Left-symmetric algebras in hydrodynamics ⋮ Surfaces with flat normal bundle: An explicit construction ⋮ Completely integrable curve flows on adjoint orbits ⋮ Hamiltonian evolution of curves in classical affine geometries ⋮ The \(N\)-wave equations with \(\mathcal{PT}\) symmetry ⋮ Isoparametric hypersurfaces with four principal curvatures, II ⋮ The generalised Zakharov–Shabat system and the gauge group action ⋮ On the bi-Hamiltonian geometry of WDVV equations
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