Revisit to self-organization of solitons for dissipative Korteweg-de Vries equation [electronic resource].

Published: Washington, D.C. : United States. Dept. of Energy, 1995.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy.
Physical Description: 15 pages : digital, PDF file
Additional Creators: University of Texas at Austin, United States. Department of Energy, and United States. Department of Energy. Office of Scientific and Technical Information

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Summary

The process by which self-organization occurs for solitons described by the Korteweg-de Vries (KdV) equation with a viscous dissipation term is reinvestigated theoretically, with the use of numerical simulations in a periodic system. It is shown that, during nonlinear interactions, two basic processes for the self-organization of solitons are energy transfer and selective dissipation among the eigenmodes of the dissipative operator. It is also clarified that an important process during nonlinear self-organization is an interchange between the dominant operators, which has hitherto been overlooked in conventional self-organization theories and which leads to a final self-similar coherent structure determined uniquely by the dissipative operator.

Report Numbers

E 1.99:doe/et/53088--701
E 1.99: ifsr--701
ifsr--701
doe/et/53088--701

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Note

Published through SciTech Connect.
03/01/1995.
"doe/et/53088--701"
" ifsr--701"
"DE95009556"
Van Dam, J.W.; Kondoh, Y.

Funding Information

FG05-80ET53088

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