Journal
PRAMANA-JOURNAL OF PHYSICS
Volume 57, Issue 5-6, Pages 917-936Publisher
INDIAN ACADEMY SCIENCES
DOI: 10.1007/s12043-001-0006-z
Keywords
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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