期刊
OPTICS EXPRESS
卷 26, 期 6, 页码 7451-7459出版社
OPTICAL SOC AMER
DOI: 10.1364/OE.26.007451
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资金
- Consejo Nacional de Ciencia y Tecnologia (CONACYT) [243284]
- United States-Israel Binational Science Foundation (BSF) [2015616]
- Israel Science Foundation [1286/17]
- Consejo Nacional de Ciencia y Tecnologia (CONACYT) [243284]
- United States-Israel Binational Science Foundation (BSF) [2015616]
- Israel Science Foundation [1286/17]
We introduce a numerical variational method based on the Rayleigh-Ritz optimization principle for predicting two-dimensional self-trapped beams in nonlinear media. This technique overcomes the limitation of the traditional variational approximation in performing analytical Lagrangian integration and differentiation. Approximate soliton solutions of a generalized nonlinear Schrodinger equation are obtained, demonstrating robustness of the beams of various types (fundamental, vortices, multipoles, azimuthons) in the course of their propagation. The algorithm offers possibilities to produce more sophisticated soliton profiles in general nonlinear models. (C) 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement
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