A recursion operator for the universal hierarchy equation via Cartan’s method of equivalence

• Autorzy: Oleg Morozov
• Języki publikacji: EN

Abstrakty

EN

We apply Cartan’s method of equivalence to find a Bäcklund autotransformation for the tangent covering of the universal hierarchy equation. The transformation provides a recursion operator for symmetries of this equation.

Słowa kluczowe

EN

Lie pseudo-groups; Maurer-Cartan forms; Symmetries of differential equations; Differential coverings; Recursion operators

Kategorie tematyczne

• 37K05: Hamiltonian structures, symmetries, variational principles, conservation laws
• 58H05: Pseudogroups and differentiable groupoids
• 37K10: Completely integrable systems, integrability tests, bi-Hamiltonian structures, hierarchies (KdV, KP, Toda, etc.)
• 35A30: Geometric theory, characteristics, transformations
• 58J70: Invariance and symmetry properties

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 2
• Strony: 271-283

Daty

wydano

2014-02-01

online

2013-11-21

Twórcy

autor

Oleg Morozov

• University of Tromsø

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0345-2