Abstract
Various symmetry reductions of the Self-Dual Yang Mills equations in which the gauge potentials depend on one space and one time variable (1+1) as well as only on one time variable (0+1) are reviewed and discussed. Specific equations which result from reduction include — the n-wave, Sine-Gordon, Kortweg deVries, Nonlinear Schrodinger and the Toda “molecule” equations in 1+1 dimensions. In 0+1 dimension we discuss the “free” and “heavy” tops and their generalizations and, a new system of equations, referred to as the Chazy top.KeywordsGauge PotentialSymmetry ReductionGauge AlgebraKadomtsev PetviashviliToda Lattice EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
