AcademicArticleSCO_85044162548
Academic Article in Scopus
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abstract
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© 2018 Optical Society of America. 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 di erentiation. Approximate soliton solutions of a generalized nonlinear Schrödinger equation are obtained, demonstrating robustness of the beams of various types (fundamental, vortices, multipoles, azimuthons) in the course of their propagation. The algorithm o ers possibilities to produce more sophisticated soliton profiles in general nonlinear models.
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