Two- and three-dimensional oscillons in nonlinear faraday resonance
We study 2D and 3D localized oscillating patterns in a simple model system exhibiting nonlinear Faraday resonance. The corresponding amplitude equation is shown to have exact soliton solutions which are found to be always unstable in 3D. On the contrary, the 2D solitons are shown to be stable in a c...
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| Veröffentlicht in: | Physical review letters 2002-09, Vol.89 (10), p.104101-104101, Article 104101 |
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| container_title | Physical review letters |
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| creator | Barashenkov, I V Alexeeva, N V Zemlyanaya, E V |
| description | We study 2D and 3D localized oscillating patterns in a simple model system exhibiting nonlinear Faraday resonance. The corresponding amplitude equation is shown to have exact soliton solutions which are found to be always unstable in 3D. On the contrary, the 2D solitons are shown to be stable in a certain parameter range; hence the damping and parametric driving are capable of suppressing the nonlinear blowup and dispersive decay of solitons in two dimensions. The negative feedback loop occurs via the enslaving of the soliton's phase, coupled to the driver, to its amplitude and width. |
| doi_str_mv | 10.1103/PhysRevLett.89.104101 |
| format | Article |
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| ispartof | Physical review letters, 2002-09, Vol.89 (10), p.104101-104101, Article 104101 |
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| source | American Physical Society Journals |
| title | Two- and three-dimensional oscillons in nonlinear faraday resonance |
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