Simultaneous existence of a multiplicity of stable and unstable solitons in dissipative systems
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 115-123 |
| Journal / Publication | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 291 |
| Issue number | 2-3 |
| Publication status | Published - 3 Dec 2001 |
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Abstract
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.
Research Area(s)
- Dissipative systems, Ginzburg-Landau equation, Solitons
Citation Format(s)
Simultaneous existence of a multiplicity of stable and unstable solitons in dissipative systems. / Soto-Crespo, J. M.; Akhmediev, Nail; Chiang, Kin S.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 291, No. 2-3, 03.12.2001, p. 115-123.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 291, No. 2-3, 03.12.2001, p. 115-123.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
