Higher-dimensional spatiotemporal parametric solitons

P. Drummond*, H. He, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review


Solutions to the second-harmonic generation equations in two- and three-dimensional dispersive media are considered in the form of solitons localized in space and time. A general solution is obtained in an approximate analytical form by means of a variational approach. The two- and three-dimensional cases are then simulated, taking the initial configuration as suggested by the variational approximation. This demonstrates that the stable spatiotemporal solitons exist and are stable.

Original languageEnglish
Number of pages2
StatePublished - 1998
Externally publishedYes
EventProceedings of the 1998 International Quantum Electronics Conference - San Francisco, CA, USA
Duration: 3 May 19988 May 1998


ConferenceProceedings of the 1998 International Quantum Electronics Conference
CitySan Francisco, CA, USA


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