On the hierarchies of the fully nonlinear Möbius-invariant and symmetry-integrable evolution equations of order three

DOI10.1080/14029251.2020.1819627zbMath1441.37081OpenAlexW3083644366MaRDI QIDQ5121133

Norbert Euler, Marianna Euler

Publication date: 10 September 2020

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2020.1819627

zbMATH Keywords

Möbius transformationsfully nonlinear PDEssymmetry-integrable nonlinear evolution equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

• Integrable systems and their recursion operators.
• Multipotentializations and nonlocal symmetries: Kupershmidt, Kaup-Kupershmidt and Sawada-Kotera equations
• On Möbius‐invariant and symmetry‐integrable evolution equations and the Schwarzian derivative

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