The multicomponent 2D Toda hierarchy: Discrete flows and string equations

Details The multicomponent 2D Toda hierarchy: Discrete flows and string equations The multicomponent 2D Toda hierarchy: Discrete flows and string equations

2008-09-16

arxiv.org/abs/0809.2720v2

Inverse Problems 25 (2009) 065007

Nonlinear Sciences

Exactly Solvable and Integrable Systems

27 pages. In the revised paper we improved the presentation

Scientific paper

The multicomponent 2D Toda hierarchy is analyzed through a factorization problem associated to an infinite-dimensional group. A new set of discrete flows is considered and the corresponding Lax and Zakharov--Shabat equations are characterized. Reductions of block Toeplitz and Hankel bi-infinite matrix types are proposed and studied. Orlov--Schulman operators, string equations and additional symmetries (discrete and continuous) are considered. The continuous-discrete Lax equations are shown to be equivalent to a factorization problem as well as to a set of string equations. A congruence method to derive site independent equations is presented and used to derive equations in the discrete multicomponent KP sector (and also for its modification) of the theory as well as dispersive Whitham equations.

Affiliated with

Also associated with

No associations

Rating

The multicomponent 2D Toda hierarchy: Discrete flows and string 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 2D Toda hierarchy: Discrete flows and string equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The multicomponent 2D Toda hierarchy: Discrete flows and string equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570913