We know that the self-dual Yang-Mills (SDYM) equation has infinitely manysymmetries, and these symmtries constitute an infinite dimensional Lie algebra.This property is commonly shared by almost all the 1+l-dimensiona...We know that the self-dual Yang-Mills (SDYM) equation has infinitely manysymmetries, and these symmtries constitute an infinite dimensional Lie algebra.This property is commonly shared by almost all the 1+l-dimensional integrableevolution equations (soliton equations), and has become a very important criterion ofintegrability for the evolution equations. So in a sense the SDYM equation is integr-able. In recent years people have found that some typical soliton equations, such展开更多
The self-dual Yang-Mills equation is considered, and by using the corresponding linear system and the infinitesimal version of the ’dressing method’ infinite numbers of symmetries of the self-dual Yang-Mills equatio...The self-dual Yang-Mills equation is considered, and by using the corresponding linear system and the infinitesimal version of the ’dressing method’ infinite numbers of symmetries of the self-dual Yang-Mills equation are obtained. The set of these symmetries form into two subsets, which constitute a loop algebra and Virasoro algebra respectively.展开更多
文摘We know that the self-dual Yang-Mills (SDYM) equation has infinitely manysymmetries, and these symmtries constitute an infinite dimensional Lie algebra.This property is commonly shared by almost all the 1+l-dimensional integrableevolution equations (soliton equations), and has become a very important criterion ofintegrability for the evolution equations. So in a sense the SDYM equation is integr-able. In recent years people have found that some typical soliton equations, such
文摘The self-dual Yang-Mills equation is considered, and by using the corresponding linear system and the infinitesimal version of the ’dressing method’ infinite numbers of symmetries of the self-dual Yang-Mills equation are obtained. The set of these symmetries form into two subsets, which constitute a loop algebra and Virasoro algebra respectively.
