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

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Abstract

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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Qinghua University, 100084, Beijing, P. R. China

    Lü Xianqing

  2. Department of Electrical Engineering, Qinghua University, 100084, Beijing, P. R. China

    Mei Shengwei

  3. Departmetn of Mathematics, Northern Jiaotong University, 100044, Beijing, P. R. China

    Li Minshan

Authors
  1. Lü Xianqing
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  2. Mei Shengwei
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  3. Li Minshan
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Additional information

Communicated by Zhou Heng

Project supported by the National Natural Science Foundation of China (19631060) and the China Post-Doctoral Science Foundation

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Xianqing, L., Shengwei, M. & Minshan, L. Exact solutions in 1+1 dimensions of the general two-velocity discrete illner model. Appl Math Mech 19, 1197–1203 (1998). https://doi.org/10.1007/BF02456641

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  • DOI: https://doi.org/10.1007/BF02456641

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