Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model

Authors
Lu, XQ Mei, SW Li, MS
Citation
Xq. Lu et al., Exact solutions in 1+1 dimensions of the general two-velocity discrete Illner model, APP MATH ME, 19(12), 1998, pp. 1197-1203
Citations number
5
Categorie Soggetti
Mechanical Engineering
Journal title
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION
ISSN journal
02534827 → ACNP
Volume
19
Issue
12
Year of publication
1998
Pages
1197 - 1203
Database
ISI
SICI code
0253-4827(199812)19:12<1197:ESI1DO>2.0.ZU;2-E
Abstract
The Illner model is the most general two-velocity model of the discrete Bol tzmann equation. It includes, as particular cases, both the Carleman and th e KcKean model. Exact solutions in 1 + 1 dimensions of the general two-velo city discrete Illner model can be studied in a concise way. The conclusions of the precursors need ameliorating. A new type of exact solutions in 1 1 dimensions is obtained. This gives a general method for studying non-triv ial exact solutions for the similar discrete Boltzmann equation.