Computer and Solitons

Published under licence by IOP Publishing Ltd
, , Citation V G Makhankov 1979 Phys. Scr. 20 558 DOI 10.1088/0031-8949/20/3-4/036

1402-4896/20/3-4/558

Abstract

The properties of one and more space dimensional solitons are discussed on the basis of the works performed mainly in Dubna at the Joint Institute for Nuclear Research, Laboratory of Computing Techniques and Automation. The conception of near integrable systems is formulated. As an example of interaction of Langmuir solitons it is shown that the Hamiltonian system is able to transform continuously its properties from a deep inelastic state up to the complete integrable one, depending on a physical parameter.

The stability and existence problem of many-dimensional solitons is discussed. The results of numerical experiments are given on the dynamics of formation and interaction of many dimensional solitons and pulsons.

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10.1088/0031-8949/20/3-4/036