Physics – Mathematical Physics
Scientific paper
2010-10-28
J. Phys. A 44 (2011), 225201
Physics
Mathematical Physics
19 pages
Scientific paper
In this article, we show that four sets of differential Fay identities of an $N$-component KP hierarchy derived from the bilinear relation satisfied by the tau function of the hierarchy are sufficient to derive the auxiliary linear equations for the wave functions. From this, we derive the Lax representation for the $N$-component KP hierarchy, which are equations satisfied by some pseudodifferential operators with matrix coefficients. Besides the Lax equations with respect to the time variables proposed in \cite{2}, we also obtain a set of equations relating different charge sectors, which can be considered as a generalization of the modified KP hierarchy proposed in \cite{3}.
No associations
LandOfFree
The Multicomponent KP Hierarchy: Differential Fay Identities and Lax 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 The Multicomponent KP Hierarchy: Differential Fay Identities and Lax Equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Multicomponent KP Hierarchy: Differential Fay Identities and Lax Equations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-583073