Transformation group acting on a self-dual Yang–Mills hierarchy
From MaRDI portal
Publication:3787186
DOI10.1063/1.528181zbMath0644.58042OpenAlexW2031667878MaRDI QIDQ3787186
Publication date: 1988
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.528181
self-dual Yang-Mills equationsparametric solutionKadomtsev-Petviashvili hierarchyself-dual Yang-Mills hierarchy
Applications of global analysis to the sciences (58Z05) Constructive quantum field theory (81T08) Invariance and symmetry properties for PDEs on manifolds (58J70) Partial differential equations of mathematical physics and other areas of application (35Q99)
Related Items
Self-dual Yang–Mills hierarchy: A nonlinear integrable dynamical system in higher dimensions, New soliton solutions of anti-self-dual Yang-Mills equations, Solution space of discrete Wiener-Hopf equations and Grassmann manifold, Self-dual Yang-Mills fields in \(d=4\) and integrable systems in \(1\leq d\leq 3\), Soliton scattering in noncommutative spaces, On self-dual Yang-Mills hierarchy, The Level Manifold of a Generalized Toda Equation Hierarchy, Hierarchy structure in integrable systems of gauge fields and underlying Lie algebras
Cites Work
- Transformation theory for anti-self-dual equations
- Solitons and infinite dimensional Lie algebras
- A new approach to the self-dual Yang-Mills equations
- Ehlers-type transformation for SL(2,C) self-dual equations of gauge theory
- Complete integrability of the Kadomtsev-Petviashvili equation
- Structure of the solution space of Witten's gauge-field equations
- Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions
- Formal power series solutions of supersymmetric (N=3) Yang–Mills equations
- On a linearisation of the stationary axially symmetric Einstein equations
- Are all the equations of the Kadomtsev–Petviashvili hierarchy integrable?
- A Method for Generating New Solutions of Einstein's Equation. II
