753 research outputs found
Stability of multi-parameter solitons: Asymptotic approach
General asymptotic approach to the stability problem of multi-parameter
solitons in Hamiltonian systems has been developed. It has been shown that asymptotic study of the
soliton stability can be reduced to the calculation of a certain sequence of
the determinants, where the famous determinant of the matrix consisting from
the derivatives of the system invariants with respect to the soliton parameters
is just the first in the series. The presented approach gives first analytical
criterion for the oscillatory instability and also predicts novel stationary
instability. Higher order approximations allow to calculate corresponding
eigenvalues with arbitrary accuracy.Comment: to appear in Physica
Intrinsic bistability and dual-core dark solitons and vortices in exciton polariton condensates
We investigate a new kind of dark solitons and vortices that can exist in the
exciton-polariton condensates. These structures have discontinuity in the
excitonic part of the polaritonic field and exist due to an intrinsic
multiplicity of the solutions for the exciton density in the given optical
field. Reported solutions are characterized by two very distinct localization
scales, and hence are coined as dual-core dark solitons and vortices
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