eirikfagerbakke/zk

Zakharov–Kuznetsov方程数据集包含了解该方程数值解的数据，该方程是Korteweg–de Vries方程的多维推广，用于模拟磁化等离子体中的非线性波传播。数据通过六阶Gauss–Legendre时间积分器和六阶中心有限差分法生成，并在128×128的空间网格上离散化，直到最终时间T=2。每个轨迹包含32个均匀分布的时间快照。初始条件包括两个相互作用波，它们的位置和振幅随机化，适用于操作员学习和物理信息机器学习研究。

The Zakharov–Kuznetsov Equation Dataset contains numerical solutions to the Zakharov–Kuznetsov (ZK) equation, a multidimensional generalization of the Korteweg–de Vries (KdV) equation modeling nonlinear wave propagation in magnetized plasma. The data were generated using a sixth-order Gauss–Legendre time integrator and sixth-order central finite differences on a 128×128 spatial grid, evolved until the final time T=2. Each trajectory consists of 32 evenly spaced temporal snapshots with randomized initial conditions of two interacting waves, suitable for operator learning and physics-informed machine learning research.