Solitary waves in fluid media

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Since the first description by John Scott Russel in 1834, the solitary wave phenomenon has attracted considerable interests from scientists. The most interesting discovery since then has been the ...
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Some Aspects concerning the Numerical Computation of Solitons

Pp. 48-60 (13)

Laurent Di Menza


The aim of this short review paper is to give a few methods in order to calculate stationary states for nonlinear dispersive equations arising in various physical contexts among which fluid theory. The shooting method and the continuation method will be emphasized.


Universite de Reims Laboratoire de Mathematiques, CNRS FRE 3111, U.F.R. S.E.N. Moulin de la Housse, 51687 Reims, Cedex 2, France.