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- W2087635067 abstract "We consider spatial solitons as, for example, self-confined optical beams in spaces of constant curvature, which are a natural generalization of flat space. Due to the symmetries of these spaces we are able to define respective dynamical parameters, for example, velocity and position. For positively curved space we find stable multiple-hump solitons as a continuation from the linear modes. In the case of negatively curved space we show that no localized solution exists and a bright soliton will always decay through a nonlinear tunneling process." @default.
- W2087635067 created "2016-06-24" @default.
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- W2087635067 date "2010-05-05" @default.
- W2087635067 modified "2023-09-24" @default.
- W2087635067 title "Solitons in curved space of constant curvature" @default.
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- W2087635067 doi "https://doi.org/10.1103/physreva.81.053806" @default.
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