A new two-dimensional lattice model that is "consistent around a cube"

Details A new two-dimensional lattice model that is "consistent around a cube" A new two-dimensional lattice model that is "consistent around a cube"

2003-11-18

arxiv.org/abs/nlin/0311034v1

J. Phys. A: Math. Gen. 37 (2004) L67

Nonlinear Sciences

Exactly Solvable and Integrable Systems

8 pages in LaTeX

Scientific paper

10.1088/0305-4470/37/6/L01

For two-dimensional lattice equations one definition of integrability is that the model can be naturally and consistently extended to three dimensions, i.e., that it is "consistent around a cube" (CAC). As a consequence of CAC one can construct a Lax pair for the model. Recently Adler, Bobenko and Suris conducted a search based on this principle and certain additional assumptions. One of those assumptions was the "tetrahedron property", which is satisfied by most known equations. We present here one lattice equation that satisfies the consistency condition but does not have the tetrahedron property. Its Lax pair is also presented and some basic properties discussed.

Affiliated with

Also associated with

No associations

Rating

A new two-dimensional lattice model that is "consistent around a cube" 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 A new two-dimensional lattice model that is "consistent around a cube", we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A new two-dimensional lattice model that is "consistent around a cube" will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340448