A variational approach to nonlinear evolution equations in optics

• The use of direct variational methods based on Rayleigh-Ritz optimization for finding approximate solutions to various nonlinear evolution equations was presented. The main advantage of the approach is that it provides simple and explicit expressions for physically relevant quantities where exact analytical solutions are not available. It is found that the given method is flexible and can be applied to stationary and dynamical problems.

Ämnesord

NATURVETENSKAP  -- Fysik -- Annan fysik (hsv//swe)

NATURAL SCIENCES  -- Physical Sciences -- Other Physics Topics (hsv//eng)

Nyckelord

Bose-Einstein condensates

Euler-Lagrange equation

Magnetic trap

Nonlinear Schrödinger equation

Rayleigh-Ritz optimization

Variational method

Differential equations

Fourier transforms

Green's function

Integral equations

Mathematical models

Nonlinear equations

Phase modulation

Magnetic traps

Nonlinear optics

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