The multicomponent 2D Toda hierarchy: dispersionless limit

Details The multicomponent 2D Toda hierarchy: dispersionless limit The multicomponent 2D Toda hierarchy: dispersionless limit

2008-10-14

arxiv.org/abs/0810.2427v3

INVERSE PROBLEMS Volume: 25 Issue: 11 Article Number: 115020 Published: NOV 2009

Physics

Mathematical Physics

Revised version with an overall improved presentation

Scientific paper

The factorization problem of the multi-component 2D Toda hierarchy is used to analyze the dispersionless limit of this hierarchy. A dispersive version of the Whitham hierarchy defined in terms of scalar Lax and Orlov--Schulman operators is introduced and the corresponding additional symmetries and string equations are discussed. Then, it is shown how KP and Toda pictures of the dispersionless Whitham hierarchy emerge in the dispersionless limit. Moreover, the additional symmetries and string equations for the dispersive Whitham hierarchy are studied in this limit.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-591281