2020-10-30T07:05:03Z
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oai:digital.csic.es:10261/63268
2016-02-17T12:01:41Z
com_10261_93
com_10261_4
col_10261_346
00925njm 22002777a 4500
dc
Soto Crespo, J. M.
author
Akhmediev, N.
author
Chiang, K. S.
author
2001
We show that dissipative systems can have a multiplicity of stationary solutions in the form of both stable and unstable solitons. As a model equation, we use the complex cubic-quintic Ginzburg-Landau equation. For a given set of the equation parameters, this equation has many coexisting soliton solutions. Our stability results show that although most of them are unstable, they can have stable pieces. This partial stability leads to the phenomenon of soliton explosion. © 2001 Elsevier Science B.V. All rights reserved.
Physics Letters, Section A: General, Atomic and Solid State Physics 291: 115-123 (2001)
http://hdl.handle.net/10261/63268
10.1016/S0375-9601(01)00634-X
Simultaneous existence of a multiplicity of stable and unstable solitons in dissipative systems