A reciprocal transformation for the constant astigmatism equation

DOI10.3842/SIGMA.2014.091zbMath1296.53018arXiv1111.2027MaRDI QIDQ401289

Adam Hlaváč, Michal Marvan

Publication date: 26 August 2014

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2027

zbMATH Keywords

exact solutionsine-Gordon equationconstant astigmatism equationconstant astigmatism surfaceorthogonal equiareal patternreciprocal transformation

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Solutions to PDEs in closed form (35C05) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

More exact solutions of the constant astigmatism equation ⋮ Nonlocal conservation laws of the constant astigmatism equation ⋮ Rotational surfaces of constant astigmatism in space forms

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