%0 Journal Article
%T NLS-KDV方程的格子Boltzmann方法<br>Lattice Boltzmann Method for the NLS-KDV Equation
%A 董亚茹
%A 戴厚平
%A 王晶
%J Pure Mathematics
%P 232-240
%@ 2160-7605
%D 2025
%I Hans Publishing
%R 10.12677/pm.2025.155172
%X 建立一维格子Boltzmann模型的演化方程&#65292;运用Taylor展开和Chapman-Enskog多尺度分析技术&#65292;推导出能够恢复一类非线性耦合的NLS-KDV方程的平衡态分布函数和修正函数。最后&#65292;数值算例验证出该方法的计算结果与给出的精确解有很好的一致性。<br>The evolution equations of the one-dimensional lattice Boltzmann model are established, and the equilibrium distribution function and the correction function that can recover a class of nonlinearly coupled NLS-KDV equations are derived by using Taylor expansion and Chapman-Enskog multiscale analysis techniques. Finally, numerical examples verify that the computational results of the method are in good agreement with the given exact solutions.
%K NLS-KDV方程&#65292
%K 格子Boltzmann方法&#65292
%K Taylor展开<br>NLS-KDV Equation
%K Lattice Boltzmann Method
%K Taylor Expansion
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=115790