Bäcklund-Transformation-Related Recursion Operators: Application to the Self-Dual Yang–Mills Equation
DOI10.1142/S1402925110000581zbMath1190.35190arXiv0809.0981OpenAlexW3106353843MaRDI QIDQ3565170
B. Kent Harrison, C. J. Papachristou
Publication date: 2 June 2010
Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0809.0981
Initial-boundary value problems for higher-order parabolic equations (35K35) PDEs in connection with quantum mechanics (35Q40) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)
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Cites Work
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- Isogroups of differential ideals of vector-valued differential forms: Application to partial differential equations
- Existence of strong Bäcklund transformations in four or more dimensions and generalization of a family of Bäcklund transformations
- Lenard scheme for two-dimensional periodic Volterra chain
- Integrable and solvable systems, and relations among them
- On strong and weak Backlund transformations
- Lax pair, hidden symmetries, and infinite sequences of conserved currents for self-dual Yang-Mills fields
- Evolution equations possessing infinitely many symmetries
- On construction of recursion operators from Lax representation
- Why nonlocal recursion operators produce local symmetries: new results and applications
- On the equivalence of linearization and formal symmetries as integrability tests for evolution equations
- Kac-Moody algebra in the self-dual Yang-Mills equation
- Symmetries and differential equations
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