Nonlinear Sciences – Pattern Formation and Solitons
Scientific paper
2008-08-26
Nonlinear Sciences
Pattern Formation and Solitons
5 pages, 2 figures, title and references revised
Scientific paper
An unstable particle in quantum mechanics can be stabilized by frequent measurements, known as the quantum Zeno effect. A soliton with dissipation behaves like an unstable particle. Similar to the quantum Zeno effect, here we show that the soliton can be stabilized by modulating periodically dispersion, nonlinearity, or the external harmonic potential available in BEC. This can be obtained by analyzing a Painleve integrability condition, which results from the rigorous Painleve analysis of the generalized nonautonomous nonlinear Schrodinger equation. The result has a profound implication to the optical soliton transmission and the matter-wave soliton dynamics.
He Xu-Gang
Li Lin
Luo Hong-Gang
Zhao Dun
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