A variational approach to nonlinear evolution equations in optics
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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 Schrödinger equation.
KeywordsVariational method Rayleigh-Ritz optimization nonlinear Schrödinger equation Euler-Lagrange equation Bose-Einstein condensates magnetic trap
PACS Nos05.45Yv 42.65.Tg
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