一般两速离散Illner模型的1 1维精确解 |
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引用本文: | 吕咸青,梅生伟,李岷珊.一般两速离散Illner模型的1 1维精确解[J].应用数学和力学,1998(12). |
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作者姓名: | 吕咸青 梅生伟 李岷珊 |
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作者单位: | 清华大学应用数学系(吕咸青),清华大学电机工程与应用电子技术系(梅生伟),北方交通大学数学系(李岷珊) |
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基金项目: | 国家自然科学基金资助(19631060)和中国博士后基金 |
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摘 要: | Ilner模型是最一般的Boltzmann方程的两速模型,它包括Carleman模型和McKean模型作为两种特殊情形·离散Ilner模型1+1维精确解能够以一种简洁的方式进行研究·前人的结论需要修正·我们得到了一类新的1+1维精确解·这给出了研究类似的离散Boltzmann方程精确行波解的一般方法·
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关 键 词: | 离散Boltzmann方程 Illner模型 行波解 双孤子解 |
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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Keywords: | discrete Boltzmann equation Illner model travelling wave solution bisoliton solution |
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