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- Title
Dynamic chaos in the solution of the Gross-Pitaevskii equation for a periodic potential.
- Authors
Ishkhanyan, H.; Krainov, V.
- Abstract
We analytically and numerically investigate the solution to the stationary Gross-Pitaevskii equation for a one-dimensional potential of the optical lattice in the case of repulsive nonlinearity. From the mathematical viewpoint, this problem is similar to the well-known problem of the classical mathematical Kapitza pendulum perturbed by a weak high-frequency force. At certain values of the parameters, dynamic chaos is produced in the considered problem. It is modeled analytically by a nonlinear diffusion equation.
- Subjects
GROSS-Pitaevskii equations; NUMERICAL analysis; OPTICAL lattices; NONLINEAR theories; MATHEMATICAL analysis; PROBLEM solving; CHAOS theory; BURGERS' equation
- Publication
Journal of Experimental & Theoretical Physics, 2011, Vol 113, Issue 3, p407
- ISSN
1063-7761
- Publication type
Article
- DOI
10.1134/S1063776111070028