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- W628786458 abstract "Temporal solitons are robust self-localizing pulses that play a pivotal role in modern understandings of nonlinear wave phenomena. Here, we propose a new approach for describing pulses in dispersive nonlinear systems. By retaining the fuller generality of the underlying Helmholtz formulation, one may go beyond conventional modelling (which anticipates slowly-varying field envelopes) to capture novel and potentially exploitable physical effects. While specific attention is paid to guided-wave optics, we believe these results are universal in nature and can be applied in a wide range of contexts, such as plasmas and water waves. Several distinct classes of exact solution family (continuous waves, solitons, cnoidal waves) are derived. The stability of these solutions is then investigated with analytical and semi-analytical methods, and one can sometimes deploy inverse-scattering theory. The fully second-order governing equation may be integrated using fast computational techniques, and extensive numerical analysis is used to test theoretical predictions." @default.
- W628786458 created "2016-06-24" @default.
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- W628786458 date "2011-07-25" @default.
- W628786458 modified "2023-09-26" @default.
- W628786458 title "Pulses with relativistic and pseudo-relativistic aspirations" @default.
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