Graded differential equations and their deformations: A computational theory for recursion operators

DOI10.1007/BF00996112zbMath0841.58033OpenAlexW4252667104MaRDI QIDQ1903562

Yanyan Li

Publication date: 18 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf00996112

zbMATH Keywords

integrable systemsdeformationssymmetriesrecursion operatorscoveringssuper KdV equationcohomologiesFrölicher-Nijenhuis bracketgraded differential equations

Mathematics Subject Classification ID

Related Items (8)

Five-dimensional Lax-integrable equation, its reductions and recursion operator ⋮ Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations ⋮ A recursion operator for the universal hierarchy equation via Cartan's method of equivalence ⋮ Integrability structures of the generalized Hunter-Saxton equation ⋮ Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation ⋮ Group invariant solutions for the N=2 super Korteweg–de Vries equation ⋮ Lagrangian extensions of multi-dimensional integrable equations. I: The five-dimensional Martínez Alonso-Shabat equation ⋮ Bi-Hamiltonian structure of the \(N=2\) supersymmetric \(\alpha=1\) KdV hierarchy

Cites Work

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• Homological method of computing invariants of systems of differential equations
• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• Some new cohomological invariants for nonlinear differential equations
• Supersymmetric extension of the Korteweg–de Vries equation
• A simple model of the integrable Hamiltonian equation

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