Stationary and dynamical properties of pure-quartic solitons
Kevin K. K. TamInstitute for Photonics and Optical Science, School of Physics, University of Sydney, NSW 2006, AustraliaTristram J. AlexanderInstitute for Photonics and Optical Science, School of Physics, University of Sydney, NSW 2006, AustraliaAndrea Blanco‐RedondoInstitute for Photonics and Optical Science, School of Physics, University of Sydney, NSW 2006, AustraliaC. Martijn de SterkeInstitute for Photonics and Optical Science, School of Physics, University of Sydney, NSW 2006, Australia
2019en
ABI
Аннотация
We numerically solve a generalized nonlinear Schrödinger equation and find a family of pure-quartic solitons (PQSs), existing through a balance of positive Kerr nonlinearity and negative quartic dispersion. These solitons have oscillatory tails, which can be understood analytically from the properties of linear waves with quartic dispersion. By computing the linear eigenspectrum of the solitons, we show that they are stable, but that they possess a nontrivial internal mode close to the radiation continuum. We also demonstrate evolution into a PQS from Gaussian initial conditions. The energy-width scaling of PQSs differs strongly from that for conventional solitons, opening up possibilities for PQS lasers.
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