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单词 Soliton
释义

soliton


A soliton is a non-linear object which moves through space without dispersion at constant speed. They occur naturally as solutions to the Korteweg - de Vries equation. They were first observed by John Scott Russell in the 19th century and then by Martin Kruskal and Norman Zabusky (who coined the term soliton) in a famous computer simulation in 1965. Insight into solitons can be obtained by noting that the Korteweg - de Vries equation satisfies D’Alembert’s solution:

u(x,t)=f(x-ct)+g(x+ct)

We see at once that this satisfies two important criteria: it has a constant velocity c, and it can also be shown that the two functions f and g can collide without altering shape. Solitons also occur in non-linear optics and as solutions to field equations in quantum field theory.

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更新时间:2025/5/4 21:21:20