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The Illner model is the most general two-velocity model of the discrete Boltzmann equation. It includes, as particular cases,
both the Carleman and the McKean model. Exact solutions in 1+1 dimensions of the general two-velocity 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-trivial exact solutions for the similar discrete Boltzmann
equation.
Project supported by the National Natural Science Foundation of China (19631060) and the China Post-Doctoral Science Foundation 相似文献
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