Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat)

DOI10.1007/s00025-011-0167-0zbMath1253.53006OpenAlexW2078095813MaRDI QIDQ1758338

Enrique G. Reyes

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/127440

zbMATH Keywords

integrabilityBäcklund transformationsKorteweg-de Vries equationCamassa-Holm equationDarboux transformationsKaup-Kupershmidt equationSawada-Kotera equationnonlocal symmetriesequations of pseudo-spherical typehierarchies of pseudo-spherical type

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Surfaces in Euclidean and related spaces (53A05) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (11)

Second order evolution equations which describe pseudospherical surfaces ⋮ Local isometric immersions of pseudospherical surfaces described by evolution equations in conservation law form ⋮ Structural and qualitative properties of a geometrically integrable equation ⋮ Breakdown of pseudospherical surfaces determined by the Camassa-Holm equation ⋮ A Novikov equation describing pseudo‐spherical surfaces, its pseudo‐potentials, and local isometric immersions ⋮ A class of third order quasilinear partial differential equations describing spherical or pseudospherical surfaces ⋮ The modified Hunter-Saxton equation ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation ⋮ A class of quasilinear second order partial differential equations which describe spherical or pseudospherical surfaces ⋮ Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations ⋮ The dual modified Korteweg-de Vries–Fokas–Qiao equation: Geometry and local analysis

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