Bianchi Permutability for the Anti-Self-Dual Yang-Mills Equations

DOI10.1111/SAPM.12118zbMath1346.35169arXiv1601.03102OpenAlexW2964254340MaRDI QIDQ2816389

Gregorio B. Benincasa, Rod Halburd

Publication date: 22 August 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.03102

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (1)

Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part I

Cites Work

• Permutability property for self-dual Yang-Mills fields
• Integrable lattices and convergence acceleration algorithms
• Reductions of lattice mKdV to \(q\)-\(\mathrm{P}_{\mathrm{VI}}\)
• Self-duality and the Painleve transcendents
• A comparison of solution generating techniques for the self-dual Yang–Mills equations. II
• Bäcklund transformations for the anti-self-dual Yang–Mills equations
• Reductions of self-dual Yang-Mills fields and classical systems
• Integrable systems and reductions of the self-dual Yang–Mills equations
• Schlesinger transformations for Painlevé VI equation
• The anti-self-dual Yang–Mills equation and classical transcendental solutions to the Painlevé II and IV equations
• The anti-self-dual Yang–Mills equation and the Painlevé III equation
• On self-dual gauge fields

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