Hyperbolic equations with third-order symmetries

DOI10.1007/s11232-011-0004-3zbMath1274.35223OpenAlexW2087191111MaRDI QIDQ377538

A. G. Meshkov, Vladimir Sokolov

Publication date: 6 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11232-011-0004-3

zbMATH Keywords

higher symmetryLiouville-type equationsine-Gordon type equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Higher-order hyperbolic equations (35L25)

Related Items (10)

Formal integrals and Noether operators of nonlinear hyperbolic partial differential systems admitting a rich set of symmetries ⋮ Integrable classes of a family of evolution equations ⋮ Symmetry structure of integrable hyperbolic third order equations ⋮ Integrable evolution systems of geometric type ⋮ Negative flows for several integrable models ⋮ Laplace transformations and sine-Gordon type integrable PDE ⋮ Vector hyperbolic equations on the sphere possessing integrable third-order symmetries ⋮ Invariant manifolds of hyperbolic integrable equations and their applications ⋮ Classification of integrable vector equations of geometric type ⋮ On a method for constructing the Lax pairs for integrable models via a quadratic ansatz

Cites Work

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• On the integrability of homogeneous scalar evolution equations
• Tzitzéica equation and proliferation of nonlinear integrable equations
• Laplace invariants of hyperbolic equations linearizable by a differential substitution
• The dressing chain of discrete symmetries and proliferation of nonlinear equations
• Evolution equations with nontrivial conservative laws
• Exactly integrable hyperbolic equations of Liouville type
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems

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