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Exact Travelling Wave Solutions of Discrete Planar Velocity Boltzmann Models |
LÜ Xian-qing |
Department of Applied Mathematics, Tsinghua University, Beijing 100084 |
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Cite this article: |
LÜ, Xian-qing 1997 Chin. Phys. Lett. 14 561-564 |
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Abstract By investigating the discrete planar Boltzmann models: the square 4-velocity and the hexagonal 6-velocity models, exact travelling wave solutions can be studied in a concise way. And their exact travelling wave solutions can only be monotonic travelling wave . The conclusions of the precursors need ameliorating. This suggests a general method for obtaining nontrivial exact solutions for the similar discrete Boltzmann equation.
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Keywords:
02.90.+p
05.20.Dd
02.30.Hq
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Published: 01 August 1997
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PACS: |
02.90.+p
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(Other topics in mathematical methods in physics)
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05.20.Dd
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(Kinetic theory)
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02.30.Hq
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(Ordinary differential equations)
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