A note on solutions for the intrinsic generalized wave and sine-Gordon equations

DOI10.1016/0022-247X(92)90343-CzbMath0748.35043OpenAlexW2021073102MaRDI QIDQ1191790

Keti Tenenblat

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90343-c

zbMATH Keywords

unit vector fieldsangle functionsexplicit 1-soliton solutions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Bäcklund transformations for a class of systems of differential equations ⋮ Recursion operator for the intrinsic generalized sine-Gordon equation ⋮ Explicit solutions to the intrinsic generalization for the wave and sine- Gordon equations

Cites Work

• Unnamed Item
• A higher dimension generalization of the Sine-Gordon equation and its soliton theory
• Bäcklund's theorem for \(n\)-dimensional submanifolds of \(R^{2n-1}\)
• On the Solution of the Generalized Wave and Generalized Sine-Gordon Equations
• On Equations Which Describe Pseudospherical Surfaces
• Pseudospherical Surfaces and Evolution Equations
• Linear Problems Associated with Evolution Equations of the Typeu_tt=F(u,u_x,u_xx,u_t)
• Inverse Scattering and the Bäcklund Transformation for the Generalized Wave and Generalized Sine‐Gordon Equations

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