The constant astigmatism equation. New exact solution

DOI10.1088/1751-8113/47/7/075203zbMath1320.35228arXiv1311.1136OpenAlexW2023450476MaRDI QIDQ5404787

Maxim P. Pavlov, Natale Manganaro

Publication date: 28 March 2014

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

Full work available at URL: https://arxiv.org/abs/1311.1136

zbMATH Keywords

integrable systemsoverdetermined systemsdifferential constraints

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Overdetermined systems of PDEs with variable coefficients (35N10) Second-order quasilinear hyperbolic equations (35L72)

Related Items (12)

Generalized Riemann problems and exact solutions for \(p\)-systems with relaxation ⋮ More exact solutions of the constant astigmatism equation ⋮ Riemann problems for generalized gas dynamics ⋮ Differential constraints and exact solutions for the ET6 model ⋮ Lie symmetry analysis, conservation laws and analytical solutions for the constant astigmatism equation ⋮ Generalized Riemann waves and their adjoinment through a shock wave ⋮ Rotational surfaces of constant astigmatism in space forms ⋮ On Lipschitz solutions of the constant astigmatism equation ⋮ Evolving to non-round Weingarten spheres: integer linear Hopf flows ⋮ Singular reduction modules of differential equations ⋮ Riemann problem for the Chaplygin gas equations for several classes of non-constant initial data ⋮ Conservation laws for $2 \times 2 $ hyperbolic systems

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