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Statistics of nonlinear dispersive waves II multi-point velocity correlation-functions

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  • Matsuno, Y.

Abstract

A statistical theory of nonlinear dispersive waves is developed on the basis of the Korteweg-de Vries (KdV) equation. The asymptotic expressions of the n(≧3)-point velocity correlation-functions are derived analytically from the given initial velocity distribution. The dependence of various statistical quantities on the initial velocity distribution is investigated in detail. Finally, it is shown that the velocity correlation-functions obtained are exact stationary solutions of the hierarchy of the moment equations derived from the KdV equation.

Suggested Citation

  • Matsuno, Y., 1980. "Statistics of nonlinear dispersive waves II multi-point velocity correlation-functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 71-94.
    • Handle: RePEc:eee:phsmap:v:104:y:1980:i:1:p:71-94
    DOI: 10.1016/0378-4371(80)90074-6
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