Isometric immersions and differential equations describing pseudospherical surfaces

DOI10.1016/j.jmaa.2022.126091OpenAlexW4212841921WikidataQ115345841 ScholiaQ115345841MaRDI QIDQ2668938

Tarcísio Castro Silva, Keti Tenenblat, Diego Catalano Ferraioli

Publication date: 9 March 2022

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

Full work available at URL: https://arxiv.org/abs/1910.14523

zbMATH Keywords

nonlinear partial differential equationssine-Gordon equationpseudospherical surfaceslocal isometric immersionsshort pulse equationgeneralized short pulse equations

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (1)

A class of third order quasilinear partial differential equations describing spherical or pseudospherical surfaces

Cites Work

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