Singular-boundary reductions of type-Q ABS equations

Details Singular-boundary reductions of type-Q ABS equations Singular-boundary reductions of type-Q ABS equations

2011-08-23

arxiv.org/abs/1108.4502v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages, 5 figures

Scientific paper

We study the fully discrete elliptic integrable model Q4 and its immediate trigonometric and rational counterparts (Q3, Q2 and Q1). Singular boundary problems for these equations are systematised in the framework of global singularity analysis. We introduce a technique to obtain solutions of such problems, in particular constructing the exact solution on a regular singularity-bounded strip. The solution technique is based on the multidimensional consistency and uses new insights into these equations related to the singularity structure in multidimensions and the identification of an associated tau-function. The obtained special solutions can be identified with open boundary problems of the associated Toda-type systems, and have interesting application to the construction of periodic solutions.

Affiliated with

Also associated with

No associations

Rating

Singular-boundary reductions of type-Q ABS 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 Singular-boundary reductions of type-Q ABS equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singular-boundary reductions of type-Q ABS equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-66848