A Lattice Boltzmann Model and Simulation of KdV-Burgers Equation 被引量：3

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摘要 A lattice Boltzmann model of KdV-Burgers equation is derived by using the single-relaxation form of the lattice Boltzmann equation. With the present model, we simulate the traveling-wave solutions, the solitary-wave solutions, and the sock-wave solutions of KdV-Burgers equation, and calculate the decay factor and the wavelength of the sock-wave solution, which has exponential decay. The numerical results agree with the analytical solutions quite well.

作者 ZHANGChao-Ying TANHui-Li LIUMu-Ren KONGLing-Jiang

机构地区 CollegeofPhysicsandInformationTechnology

出处《Communications in Theoretical Physics》 SCIE CAS CSCD 2004年第2X期281-284,共4页 理论物理通讯（英文版）

基金国家自然科学基金，广西自然科学基金，教育部科学技术基金

关键词麦克斯韦-玻尔兹曼格子模型 KDV-BURGERS方程行波解孤立波解解析解数学物理方法

分类号 O411.1 [理学—理论物理]

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2詹杰民,李毓湘,王彪（推荐）.一维Burgers方程和KdV方程的广义有限谱方法[J].应用数学和力学,2006,27(12):1431-1438. 被引量：11
3盛秀兰,吴宏伟.Kdv-Burgers方程的两层线性化隐式差分格式[J].扬州大学学报（自然科学版）,2013,16(1):17-21. 被引量：1

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2赵廷刚,马和平.Legendre expansion method for Helmholz equations[J].Journal of Shanghai University(English Edition),2008,12(1):15-19.
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4斯琴,斯仁道尔吉.同伦摄动法与KdV-Burgers方程和BBM方程的近似解[J].赤峰学院学报（自然科学版）,2008,24(1):5-8. 被引量：2
5田强,赵国忠.Burgers方程的指数型差分格式[J].内蒙古大学学报（自然科学版）,2009,40(1):37-41. 被引量：3
6詹杰民,李毓湘,董志.扩展型动网格的Chebyshev有限谱方法[J].应用数学和力学,2011,32(3):365-374.
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10谭璐芸.同伦摄动法在求解非线性偏微分方程中的应用[J].江西理工大学学报,2014,35(1):102-104.

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Communications in Theoretical Physics

2004年第2X期

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A Lattice Boltzmann Model and Simulation of KdV-Burgers Equation 被引量：3

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