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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v30.i5.40
9 pages

Autoresonance Processes under Interaction of Solitary Waves with the External Fields

E. N. Pelinovsky
Departement de Physique, Universite des Antilles et de la Guyane, UFR Sciences, Campus de Fouillole, 97159 Pointe a Pitre Cedex, Guadeloupe, France; Laboratory of Hydrophysics and Nonlinear Acoustics, Institute of Applied Physics, Nizhny Novgorod, Russia

RÉSUMÉ

Dynamics of the solitary wave (a soliton) is considered in the case of its interaction with the external fields within the scope of the forced version of the Korteweg-de Vries equation. The first-order asymptotic equations for amplitude and phase of the soliton interacting with an isolated disturbance are obtained. The phase plane of the asymptotic system is constructed and the conditions of the soliton trapping by the external field are presented. The soliton dynamics in the field of unsteadily moving disturbance is discussed.


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