On Lipschitz solutions of the constant astigmatism equation

DOI10.1016/j.geomphys.2014.05.020zbMath1298.35173OpenAlexW2038609283MaRDI QIDQ741110

Michal Marvan, Adam Hlaváč

Publication date: 10 September 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2014.05.020

zbMATH Keywords

sine-Gordon equationconstant astigmatism equationconstant astigmatism surfaceorthogonal equiareal patternslip-line fieldsymmetry invariant solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Surfaces in Euclidean and related spaces (53A05) PDEs in connection with mechanics of deformable solids (35Q74) Geometric optics (78A05)

Related Items (1)

More exact solutions of the constant astigmatism equation

Cites Work

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• Applications of symmetry methods to partial differential equations
• Lagrangian and Hamiltonian structures for the constant astigmatism equation
• On integrability of Weingarten surfaces: a forgotten class
• Another integrable case in two-dimensional plasticity
• The constant astigmatism equation. New exact solution
• Equiareal Patterns

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