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Dissipative solitons and their interactions
Author(s) -
Akhmediev N.,
SotoCrespo J. M.,
Grelu Ph.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700286
Subject(s) - dissipative system , dissipative soliton , soliton , physics , nonlinear system , bound state , stationary state , state (computer science) , classical mechanics , mathematics , quantum mechanics , algorithm
Coupled soliton pairs in nonlinear dissipative systems can exist in various forms. They can be stationary, or they can pulsate periodically, quasi‐periodically or chaotically, as is the case for single solitons. Each type is stable in the sense that a given bound state exists in the same form inde.nitely. Single solitons can be perfectly stable for a given set of parameters. However, this does not mean that a bound state formed from them is either stationary or stable. Moreover, their relations can be highly complicated. Such is the life of dissipative solitons. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)