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Dissipative Solitons that Cannot be Trapped

Pardo San Gil, Rosa and Pérez García, Víctor (2006) Dissipative Solitons that Cannot be Trapped. Physical Review Letters, 97 (25). pp. 1-4. ISSN 0031-9007

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Abstract

We show that dissipative solitons in systems with high-order nonlinear dissipation cannot survive in the presence of trapping potentials of the rigid wall or asymptotically increasing type. Solitons in such systems can survive in the presence of a weak potential but only with energies out of the interval of existence of linear quantum mechanical stationary states.


Item Type:Article
Uncontrolled Keywords:Solitons, Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, Solitons, Vortices and topological excitations, Optical solitons, Nonlinear guided waves
Subjects:Sciences > Mathematics > Topology
ID Code:12884
Deposited On:22 Jun 2011 10:53
Last Modified:06 Feb 2014 09:35

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