Lagrangian and Hamiltonian structures for the constant astigmatism equation

DOI10.1088/1751-8113/46/39/395203zbMath1306.78001arXiv1212.6239OpenAlexW3105272096MaRDI QIDQ2866168

Maxim P. Pavlov, Sergej A. Zykov

Publication date: 13 December 2013

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

Full work available at URL: https://arxiv.org/abs/1212.6239

zbMATH Keywords

Hamiltonian structureEuler-Lagrange equationbi-Hamiltonian structureLagrangian structureastigmatism equation

Mathematics Subject Classification ID

Geometric optics (78A05)

Related Items (5)

Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation ⋮ Nonlocal conservation laws of the constant astigmatism equation ⋮ Rotational surfaces of constant astigmatism in space forms ⋮ On Lipschitz solutions of the constant astigmatism equation ⋮ Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures

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