Hierarchy of Higher Dimensional Integrable System

Details Hierarchy of Higher Dimensional Integrable System Hierarchy of Higher Dimensional Integrable System

1998-02-03

arxiv.org/abs/solv-int/9802005v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, uses ioplppt.sty

Scientific paper

Integrable equations in ($1 + 1$) dimensions have their own higher order integrable equations, like the KdV, mKdV and NLS hierarchies etc. In this paper we consider whether integrable equations in ($2 + 1$) dimensions have also the analogous hierarchies to those in ($1 + 1$) dimensions. Explicitly is discussed the Bogoyavlenskii-Schiff(BS) equation. For the BS hierarchy, there appears an ambiguity in the Painlev\'e test. Nevertheless, it may be concluded that the BS hierarchy is integrable.

Affiliated with

Also associated with

No associations

Rating

Hierarchy of Higher Dimensional 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 Hierarchy of Higher Dimensional Integrable System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hierarchy of Higher Dimensional Integrable System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92023