On the geometry of Liouville equation: symmetries, conservation laws, and Bäcklund transformations

DOI10.1023/A:1015266305221zbMath1192.35006OpenAlexW1898282027MaRDI QIDQ1610231

Arthemy V. Kiselev

Publication date: 19 August 2002

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1015266305221

zbMATH Keywords

conservation lawssymmetriesBäcklund transformationsLiouville equationToda systems

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear elliptic equations (35J60) Hyperbolic conservation laws (35L65) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Correspondences and other transformation methods (e.g., Lie-Bäcklund) for PDEs on manifolds (58J72)

Related Items (3)

Symmetry classification of quasi-linear PDE's containing arbitrary functions ⋮ Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization ⋮ G -Strands on symmetric spaces

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