V.Yu.Korolevich, I.T.Selezov
Nonlinear-dispersive waves in fluid of variable depth: from solitons to determinated chaos

Applied hydromechanics, Vol. 14 (86) ¹ 2, (2012) p.80-83
An analysis of surface gravity wave propagation over a variable bottom using the asymptotic method of multiple scale expansions is presented. It is shown that under some inhomogeneous of a bottom surface the problem can be reduced to a nonautonomous dynamical system, which is reduced to the Lorenz system. It is follow from that the possibility of transition of a soliton solution to a determinate chaos.
KEY WORDS:
nonlinear-dispersive waves, method of multiple scale
TEXT LANGUAGE: Russian