Third-order differential equations and local isometric immersions of pseudospherical surfaces

DOI10.1142/S0219199716500218zbMath1378.53015arXiv1506.08085OpenAlexW1162199193MaRDI QIDQ2828660

Niky Kamran, Tarcísio Castro Silva

Publication date: 26 October 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08085

zbMATH Keywords

nonlinear partial differential equationspseudospherical surfaceslocal isometric immersion

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Connections (general theory) (53C05) Local Riemannian geometry (53B20) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (6)

Local isometric immersions of pseudospherical surfaces described by evolution equations in conservation law form ⋮ Isometric immersions and differential equations describing pseudospherical surfaces ⋮ 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 ⋮ Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations

Cites Work

• Unnamed Item
• Second-order equations and local isometric immersions of pseudo-spherical surfaces
• Fourth order evolution equations which describe pseudospherical surfaces
• Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations
• A classification of pseudospherical surface equations of type u t=u xxx+G(u,u x,u xx)

This page was built for publication: Third-order differential equations and local isometric immersions of pseudospherical surfaces