4.3 Article

A variational approach to nonlinear evolution equations in optics

期刊

PRAMANA-JOURNAL OF PHYSICS
卷 57, 期 5-6, 页码 917-936

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INDIAN ACADEMY SCIENCES
DOI: 10.1007/s12043-001-0006-z

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variational method; Rayleigh-Ritz optimization; nonlinear Schrodinger equation; Euler-Lagrange equation; Bose-Einstein condensates; magnetic trap

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A tutorial review is presented of the use of direct variational methods based on Rayleigh-Ritz optimization for finding approximate solutions to various nonlinear evolution equations. The practical application of the approach is demonstrated by some illustrative examples in connection with the nonlinear Schrodinger equation.

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