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Author(s):
N. Kondo and Y. Kondoh
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Title:
Eigenfunction Spectrum Analysis for Self-organization in Dissipative Solitons
Date of publication:
Oct. 1995
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Key words:
self-organization, eigenfunction spectrum analysis, KdV equation, soliton, dissipative operator, spectrum transfer, selective dissipation
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Abstract:
An attractor of dissipative structures in soliton described by the Korteweg-de Vries(KdV) equation with a viscous dissipation term is investigated, with the use of an eigenfunction spectrum analysis associated with the dissipative dynamical operator [Phys. Rev. E 49(1994)5546]. It is shown numerically and quantitatively that the basic processes for the self-organization of dissipative soliton are spectrum transfer by nonlinear interaction and selective dissipation among the eigenmodes of the dissipative operator. It is quantitatively shown that an interchange between the dominant operators occurs during nonlinear self-organization processes, which leads to a final self-similar coherent structure uniquely determined by the dissipative operator.
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