Korteweg-de vries solitons in a randomly varying medium

  • Sobczyk K
  • 1


    Mendeley users who have this article in their library.
  • 1


    Citations of this article.


Some aspects of non-linear dispersive waves in a randomly inhomogeneous medium are considered. The wave motion is governed by the Korteweg-de Vries (KdV) equation with randomly varying coefficients. The effect of a random inhomogeneity on the KdV invariants and on the soliton disintegration (splitting) is discussed. Also, the evolution of the mean (or, coherent) solitary waves is analyzed; the deformation (damping) of the KdV soliton due to the randomness of the medium is shown explicitly. © 1991.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • K. Sobczyk

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free