Journal
CHINESE PHYSICS B
Volume 21, Issue 3, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1674-1056/21/3/030508
Keywords
Gross-Pitaevskii equation; similarity transformation; self-similar solutions
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Funding
- National Natural Science Foundations of China [11005092]
- Program for Innovative Research Team of Young Teachers [2009RC01]
- Zhejiang Agricultural and Forestry University, China [2009FK42]
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With the help of similarity transformation, we obtain analytical spatiotemporal self-similar solutions of the nonautonomous (3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent diffraction, nonlinearity, harmonic potential and gain or loss when two constraints are satisfied. These constraints between the system parameters hint that self-similar solutions form and transmit stably without the distortion of shape based on the exact balance between the diffraction, nonlinearity and the gain/loss. Based on these analytical results, we investigate the dynamic behaviours in a periodic distributed amplification system.
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