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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Analytical and numerical investigation for Kadomtsev-Petviashvili equation arising in plasma physics
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Analytical and numerical investigation for Kadomtsev-Petviashvili equation arising in plasma physics

机译：血浆物理中Kadomtsev-Petviashvili方程的分析与数值研究

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摘要

Essentially, this article is written to present and analyse the analytical and numerical solutions of the Kadomtsev-Petviashvili (KP) equation arising in plasma physics. We derive the basic set of fluid equations governing the KP equation. The analytical solution, presented on forms of rational functions, hyperbolic functions and trigonometric functions, was analytically investigated while the numerical solution is examined here by utilizing the adaptive moving mesh method on finite differences. The stability of the obtained exact solutions is also presented and analysed. All solutions are found stable on specific intervals. The exact and numerical solutions are compared with each other to show the accuracy of the numerical solution. Under an appropriate choice of parameters, some 2D and 3D figures for the obtained analytical and numerical results are illustrated in order to compare between their accuracy.
机译：本质上，本文写入并分析了等离子体物理学中Kadomtsev-PetviaShvili（KP）方程的分析和数值溶液。 我们派生了管理KP方程的基本流体方程。 通过利用自适应移动网格方法在这里对有限差异进行了分析解决方案，在此进行分析研究了关于合理函数，双曲函数和三角函数的分析解决方案。 还提出和分析了所获得的精确溶液的稳定性。 在特定间隔内发现所有解决方案都稳定。 将精确和数值溶液彼此进行比较以显示数值溶液的精度。 在适当的参数选择下，示出了用于获得的分析和数值结果的一些2D和3D图，以便在其准确性之间进行比较。

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