E.N.Pelinovsky
Autoresonance processes under interaction of solitary waves with external fields

Applied hydromechanics, Vol. 2 (74) ¹ 4, (2000) p.67-72
Dynamics of the solitary wave (soliton) is considered in the case of it interaction with external fields in the framework of the version of the forced Korteveg-de Vries equation. The first order asymptotic equations for theamplitude and phase of soliton interacting with an isolated disturbance are obtained. The phase plane of asymptotic system is constructed and the conditions of soliton capture by the external field are presented. The dynamics of soliton in the field of unsteady moving disturbance is discussed.
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TEXT LANGUAGE: Russian