Deformations of surfaces associated with integrable Gauss–Mainardi–Codazzi equations

DOI10.1063/1.533237zbMath0981.53006OpenAlexW1976258204MaRDI QIDQ2737929

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Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533237

zbMATH Keywords

nonlinear Schrödinger equationsine-Gordon equationmodified Korteweg-de Vries equationWeingarten surfacescurve motionssymmetry of integrable equations

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Surfaces in Euclidean and related spaces (53A05)

Related Items (6)

Modified Korteweg–de Vries surfaces ⋮ Korteweg-de Vries surfaces ⋮ On the construction of integrable surfaces on Lie groups ⋮ The generalized Weierstrass system and an application to the study of deformations of surfaces by means of integrable hierarchies ⋮ Some Special Integrable Surfaces ⋮ Surfaces and curves corresponding to the solutions generated from periodic ``seed of NLS equation

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