Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrödinger equation

Chaoqing Dai; Yueyue Wang; Jiefang Zhang

doi:10.1364/OL.35.001437

Optics Letters
Vol. 35,
Issue 9,
pp. 1437-1439
(2010)
•https://doi.org/10.1364/OL.35.001437

Analytical spatiotemporal localizations for the generalized $(3 + 1)$ -dimensional nonlinear Schrödinger equation

Chaoqing Dai, Yueyue Wang, and Jiefang Zhang

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Chaoqing Dai, Yueyue Wang, and Jiefang Zhang, "Analytical spatiotemporal localizations for the generalized (3+1)-dimensional nonlinear Schrödinger equation," Opt. Lett. 35, 1437-1439 (2010)

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Abstract

We derive analytical 3D spatiotemporal similaritons and solitons of the generalized $(3 + 1)$ -dimensional nonlinear Schrödinger equation with distributed coefficients.

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σ	GVPs	BSM/DSM	BSL/DSL
1	all cases	$β χ α > 0 ∕ β χ α < 0$	$β χ > 0 ∕ β χ < 0$
$- 1$	$p^{2} + q^{2} > r^{2}$	$β χ α > 0 ∕ β χ α < 0$	$β χ > 0 ∕ β χ < 0$
$- 1$	$p^{2} + q^{2} < r^{2}$	$β χ α < 0 ∕ β χ α > 0$	$β χ < 0 ∕ β χ > 0$

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Optics Letters