SOLITARY WAVES, SOLITON BOUND STATES AND CHAOS IN A DISSIPATIVE KORTEWEG-DE VRIES EQUATION

Author:

NEKORKIN VLADIMIR I.1,VELARDE MANUEL G.2

Affiliation:

1. Department of Radiophysics, State University, 23, Gagarin Avenue, Nizhny-Novgorod 603 600, Russia

2. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, N° 1, Madrid 28 040, Spain

Abstract

Propagating dissipative (localized) structures like solitary waves, pulses or “solitons,” “bound solitons,” and “chaotic” wave trains are shown to be solutions of a dissipation-modified Korteweg-de Vries equation that in particular appears in Marangoni-Bénard convection when a liquid layer is heated from the air side and in the description of internal waves in sheared, stably stratified fluid layers.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

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