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Applications of the self-dual Yang-Mills equations in \(\mathbb R^{3}\)

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Publication:430396
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DOI10.1016/J.CNSNS.2011.08.014zbMath1245.35102OpenAlexW1988998212MaRDI QIDQ430396

Yongqing Zhang, Xiurong Guo

Publication date: 21 June 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.08.014


zbMATH Keywords

Poisson structureYang-Mills equationPoisson representation


Mathematics Subject Classification ID

Soliton equations (35Q51) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)





Cites Work

  • Darboux transformations for a Lax integrable system in \(2n\) dimensions
  • Commutational representations of Yang hierarchy of integrable evolution equations
  • Reduced equations of the self-dual Yang-Mills equations and applications
  • Some Evolution Hierarchies Derived from Self-dual Yang—Mills Equations
  • Integrable systems and reductions of the self-dual Yang–Mills equations
  • Hamiltonian equations in R3
  • Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras




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