Abstract A nonlinear wave model is constructed in the current work to examine the nonlinear dynamics of extremely oblique whistler waves in radiation belts. For this purpose, numerical simulation technique has been employed. The coupled normalized equations of highly oblique whistler wave and low frequency slow Alfven wave have been developed. The ponderomotive force of high frequency whistler wave creates density perturbations in the low frequency wave. The coupled nonlinear dynamical equations of these two waves are then modeled in the form of modified Zakharov system of equations. The temporal evolution of whistler wave and the turbulent spectrum obtained suggests the energy cascade process. Nonlinear Schrodinger equation is implemented on a parallel computing platform. The goal is to study the potential performance improvements of the algorithm. The time efficiency of the simulation on a serial and parallel computing platform is studied.

中文翻译：

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使用 CUDA 在 GPU 上进行数值模拟，研究辐射带中惠斯勒波的非线性动力学及其湍流谱

摘要 目前的工作构建了非线性波模型来研究辐射带中极斜哨声波的非线性动力学。为此，采用了数值模拟技术。建立了高斜惠斯勒波和低频慢阿尔芬波的耦合归一化方程。高频哨声波的有质动力在低频波中产生密度扰动。然后以修正的 Zakharov 方程组的形式对这两个波的耦合非线性动力学方程进行建模。惠斯勒波的时间演变和获得的湍流谱表明能量级联过程。非线性薛定谔方程是在并行计算平台上实现的。目标是研究算法的潜在性能改进。研究了在串行和并行计算平台上进行仿真的时间效率。