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- W2001900923 abstract "The dynamical properties of forced dissipative nonlinear Schr?dinger (NLS) equations are investigated in the critical case pd?=?4, where p denotes the degree of nonlinearity and d the number of spatial dimensions. It is shown that, in contrast to the corresponding 1d equation, the effect of a second space dimension (d?=?2) in the cubic NLS equation (p?=?2), or equivalently a fifth-order nonlinearity (p?=?4) in 1d, is to prevent chaotic behaviour completely. Instead of this the dynamics of the perturbed equations are dominated by the underlying conservative models, where collapsing solutions are generic." @default.
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- W2001900923 date "1991-05-15" @default.
- W2001900923 modified "2023-09-25" @default.
- W2001900923 title "Dynamics of Forced Dissipative Schrödinger Systems in the Critical Case" @default.
- W2001900923 doi "https://doi.org/10.1209/0295-5075/15/2/011" @default.
- W2001900923 hasPublicationYear "1991" @default.
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