Local isometric immersions of pseudospherical surfaces described by evolution equations in conservation law form

DOI10.1016/j.jmaa.2016.09.044zbMath1369.53007OpenAlexW2526283970MaRDI QIDQ333895

L. A. de Oliveira Silva, Diego Catalano Ferraioli

Publication date: 31 October 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.09.044

zbMATH Keywords

second-order evolution equationsnonlinear partial differential equationspseudospherical surfacesequations describing pseudospherical surfaceslocal isometric immersions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Surfaces in Euclidean and related spaces (53A05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (6)

A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ Isometric immersions and differential equations describing pseudospherical surfaces ⋮ 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 ⋮ Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations ⋮ Well-posedness, travelling waves and geometrical aspects of generalizations of the Camassa-Holm equation

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