Discrete Burgers' Equation, Binomial Coefficients and Mandala.

Autor: Morikawa, Shuji, Saito, Katsunori, Takeuchi, Taihei, Umemura, Hiroshi
Zdroj: Mathematics in Computer Science; Dec2010, Vol. 4 Issue 2/3, p151-167, 17p
Abstrakt: In discrete Burgers' equation, time is discretized but space remains continuous. Reduction modulo 2 of discrete Burgers' equation discretizes also space. This dynamical system generates an elegant pattern known since long time ago. We also propose to show that the Galois groups of particular solutions of Burgers' equation are abelian. It would imply that the dynamical systems are integrable. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index