Higher-dimensional spatiotemporal parametric solitons

P. Drummond; H. He; Boris A. Malomed

Higher-dimensional spatiotemporal parametric solitons

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

^*Corresponding author for this work

University of Queensland

Research output: Contribution to conference › Paper › peer-review

Abstract

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 language	English
Pages	181-182
Number of pages	2
State	Published - 1998
Externally published	Yes
Event	Proceedings of the 1998 International Quantum Electronics Conference - San Francisco, CA, USA Duration: 3 May 1998 → 8 May 1998

Conference

Conference	Proceedings of the 1998 International Quantum Electronics Conference
City	San Francisco, CA, USA
Period	3/05/98 → 8/05/98

Cite this

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abstract = "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.",

author = "P. Drummond and H. He and Malomed, {Boris A.}",

year = "1998",

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pages = "181--182",

note = "Proceedings of the 1998 International Quantum Electronics Conference ; Conference date: 03-05-1998 Through 08-05-1998",

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AU - Drummond, P.

AU - He, H.

AU - Malomed, Boris A.

PY - 1998

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N2 - 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.

AB - 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.

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SP - 181

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T2 - Proceedings of the 1998 International Quantum Electronics Conference

Y2 - 3 May 1998 through 8 May 1998

ER -

Higher-dimensional spatiotemporal parametric solitons

Abstract

Conference

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