V2EX kdv

KDV

释义 Definition

KdV 通常指Kortewegde Vries equation(科特韦格德弗里斯方程):一种著名的非线性偏微分方程,用来描述浅水波等介质中的孤立波(soliton,孤子)传播与演化。
(在少数语境中,KDV 也可能是其他缩写,但英语科技文献里最常见的是此方程。)

发音 Pronunciation (IPA)

/ke di vi/

例句 Examples

The KdV equation can describe solitary waves in shallow water.
KdV 方程可以描述浅水中的孤立波。

Using the KdV model, researchers analyzed how nonlinearity and dispersion balance to form stable solitons.
研究人员使用 KdV 模型分析了非线性与色散如何相互平衡,从而形成稳定的孤子。

词源 Etymology

KdV 来自提出该方程的两位荷兰数学家/物理学家姓氏首字母:Diederik KortewegGustav de Vries;因此也写作 KdV equation

相关词 Related Words

文献与作品 Literary & Notable Works

  • Zabusky, N. J., & Kruskal, M. D. (1965). Interaction of “Solitons” in a Collisionless Plasma and the Recurrence of Initial States(提出并推动了 KdV 与“soliton/孤子”概念的传播)
  • Drazin, P. G., & Johnson, R. S. Solitons: An Introduction(入门教材中大量讨论 KdV)
  • Ablowitz, M. J., & Segur, H. Solitons and the Inverse Scattering Transform(以 KdV 为核心例子之一)
  • Whitham, G. B. Linear and Nonlinear Waves(波动理论经典著作中讨论 KdV)
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