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Applied Mathematics and Mechanics (English Edition) ›› 1998, Vol. 19 ›› Issue (12): 1197-1203.

• Articles • Previous Articles     Next Articles

EXACT SOLUTIONS IN 1+1 DIMENSIONS OF THE GENERAL TWO-VELOCITY DISCRETE ILLNER MODEL

Lü Xianqing1, Mei Shengwei2, Li Minshan3   

  1. 1. Department of Applied Mathematics, Qinghua University, Beijing 100084, P.R.China;
    2. Departmet of Electrical Engineering, Qinghua University, Beijing 100084, P.R.China;
    3. Departmet of Mathematics, Northern Jiaotong University, Beijing 100044, P.R.China
  • Received:1997-03-24 Revised:1998-05-25 Online:1998-12-18 Published:1998-12-18
  • Supported by:

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

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Abstract: The Illner,model is the most general two-velocity model of the discrete Boltoman equation.It includes, as particular cases, both the Carleman and the MeKean model.Exact solutions in 1+1 dunensions of the general two-velocity discrete Illner model can be studied in a concise way.The conclusions of the precursors need anredliorating.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.

Key words: discrete Boltzmann equation, Illner model, travelling wave solution, bisoliton solution

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