Pseudo-spherical surfaces and integrability of evolution equations

DOI10.1006/jdeq.1998.3430zbMath0916.35047OpenAlexW2041552772MaRDI QIDQ1268572

Enrique G. Reyes

Publication date: 19 July 1999

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3430

zbMATH Keywords

formal integrabilitykinematic integrabilityclassification of integrable equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (15)

Exact solutions for some nonlinear evolution equations which describe pseudo-spherical surfaces ⋮ The Bäcklund transformations, exact solutions, and conservation laws for the compound modified Korteweg-de Vries-Sine-Gordon equations which describe pseudospherical surfaces ⋮ Remarks on undecidability, incompleteness and the integrability problem ⋮ Fifth-order evolution equations describing pseudospherical surfaces ⋮ On formal integrability of evolution equations and local geometry of surfaces ⋮ Discrete moving frames on lattice varieties and lattice-based multispaces ⋮ Surfaces of a constant negative curvature ⋮ Local isometric immersions of pseudo-spherical surfaces and kth order evolution equations ⋮ On differential equations derived from the pseudospherical surfaces ⋮ Connections of zero curvature and applications to nonlinear partial differential equations ⋮ Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat) ⋮ On differential systems describing surfaces of constant curvature ⋮ Conservation laws for some nonlinear evolution equations which describe pseudo-spherical surfaces ⋮ Local Isometric Immersions of Pseudo-Spherical Surfaces and Evolution Equations ⋮ On generalized Bäcklund transformations for equations describing pseudo-spherical surfaces

Cites Work

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• A classification of pseudospherical surface equations of type u t=u xxx+G(u,u x,u xx)
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