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Phys Rev Lett. 2000 Feb 28;84(9):1906-9.

Spatiotemporally localized multidimensional solitons in self-induced transparency media

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1
Department of Interdisciplinary Studies, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel and Chemical Physics Department, Weizmann Institute of Science, Rehovot 76100, Israel.

Abstract

"Light bullets" are multidimensional solitons which are localized in both space and time. We show that such solitons exist in two- and three-dimensional self-induced transparency media and that they are fully stable. Our approximate analytical calculation, backed and verified by direct numerical simulations, yields the multidimensional generalization of the one-dimensional sine-Gordon soliton.

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