New nonlinear evolution equations from surface theory

DOI10.1063/1.525079zbMath0471.35071OpenAlexW2133173732MaRDI QIDQ3924607

Yavuz Nutku, Metin Gürses

Publication date: 1981

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7aea3355a1797e80cb076d90427ccfc18d5acb5e

zbMATH Keywords

sine-Gordon equationcompletely integrable systemsinverse scattering methodGauss-Codazzi equationsnon-linear evolution equationsimbedding problem for pseudo-spherical surfacesKorteweg deVries equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Surfaces in Euclidean and related spaces (53A05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (8)

Korteweg-de Vries surfaces ⋮ On the construction of integrable surfaces on Lie groups ⋮ Solitons and isometric immersions ⋮ Prolongation structure and Painlevé property of the Gürses-Nutku equations ⋮ Super extensions of the short pulse equation ⋮ Deformations of surfaces associated with integrable Gauss–Mainardi–Codazzi equations ⋮ Conservation laws and Calapso–Guichard deformations of equations describing pseudo-spherical surfaces ⋮ Equations of pseudo-spherical type (After S. S. Chern and K. Tenenblat)

Cites Work

• The soliton connection
• Classically solvable field theory model
• Nonlinear-Evolution Equations of Physical Significance
• An illustration of the Lie group framework for soliton equations: Generalizations of the Lund–Regge model
• Integrals of nonlinear equations of evolution and solitary waves

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