$\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system

Details $\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system $\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system

2004-12-03

arxiv.org/abs/math-ph/0412011v1

J.Phys. A38 (2005) 4399-4418

Physics

Mathematical Physics

25 pages

Scientific paper

10.1088/0305-4470/38/20/008

It is shown that the self-dual Yang-Mills (SDYM) equations for the
$\ast$-bracket Lie algebra on a heavenly space can be reduced to one equation
(the \it master equation\rm). Two hierarchies of conservation laws for this
equation are constructed. Then the twistor transform and a solution to the
Riemann-Hilbert problem are given.

Affiliated with

Also associated with

No associations

Rating

$\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with $\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and $\ast$-SDYM Fields and Heavenly Spaces. I. $\ast$-SDYM equations as an integrable system will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-403280