Number:         Mech 239/01
Author(s):       ILISON, O.
Title:               Soliton formation in dispersive media with lower and higher order nonlinearity. 57 p.
Language:      English

ABSTRACT.   Wave propagation in microstructured media with different properties is studied. Two Korteweg-de Vries type evolution equations with quartic and quadratic nonlinearity and both the third- and the fifth-order dispersion are used as model equations. The model equations are solved numerically by pseudospectral method with respect to time variable under harmonic initial conditions. Solution types, behaviour of the extrema and periodicity are examined and described in case of both model equations, common and different properties are drawn out.

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  MT   17.02.2003