Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-02-10
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, LaTeX
Scientific paper
Matrix hierarchies are: multi-component KP, general Zakharov-Shabat (ZS) and its special cases, e.g., AKNS. The ZS comprises all integrable systems having a form of zero-curvature equations with rational dependence of matrices on a spectral parameter. The notion of a $\tau$-function is introduced here in the most general case along with formulas linking $\tau$-functions with wave Baker functions. The method originally invented by Sato et al. for the KP hierarchy is used. This method goes immediately from definitions and does not require any assumption about the character of a solution, being the most general. Applied to the matrix hierarchies, it involves considerable sophistication. The paper is self-contained and does not expect any special prerequisite from a reader.
No associations
LandOfFree
On tau-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations 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 On tau-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On tau-functions of Zakharov-Shabat and other matrix hierarchies of integrable equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-439780