Solitons of the Kadomtsev-Petviashvili equation based on lattice Boltzmann model

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• 作者：Huimin Wang ^{whm20110605@126.com whm780921@sina.com}
• 关键词：Lattice Boltzmann model ; Kadomtsev&ndash ; Petviashvili equation ; Soliton
• 刊名：Advances in Space Research
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：59
• 期：1
• 页码：293-301
• 全文大小：2335 K
• 卷排序：59

文摘

In this paper, a lattice Boltzmann model for the Kadomtsev–Petviashvili equation is proposed. By using the Chapman–Enskog expansion and the multi-scale time expansion, a series of partial differential equations in different time scales are obtained. Due to the asymmetry in xx direction and yy direction of the equation, the moments of the equilibrium distribution function are selected are asymmetric. The numerical results demonstrate the lattice Boltzmann method is an effective method to simulate the solitons of the Kadomtsev–Petviashvili equation.