Two-dimensional Burgers Cellular Automaton

Details Two-dimensional Burgers Cellular Automaton Two-dimensional Burgers Cellular Automaton

2001-02-22

arxiv.org/abs/nlin/0102027v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex2.09, 17 pages including 7 figures

Scientific paper

10.1143/JPSJ.70.2267

A two-dimensional cellular automaton(CA) associated with a two-dimensional Burgers equation is presented. The 2D Burgers equation is an integrable generalization of the well-known Burgers equation, and is transformed into a 2D diffusion equation by the Cole-Hopf transformation. The CA is derived from the 2D Burgers equation by using the ultradiscrete method, which can transform dependent variables into discrete ones. Some exact solutions of the CA, such as shock wave solutions, are studied in detail.

Affiliated with

Also associated with

No associations

Rating

Two-dimensional Burgers Cellular Automaton 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 Two-dimensional Burgers Cellular Automaton, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Two-dimensional Burgers Cellular Automaton will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-726595