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Manipulating matter rogue waves and breathers in Bose-Einstein condensates.
K Manikandan1, P Muruganandam2, M Senthilvelan1
1Centre for Nonlinear Dynamics, Bharathidasan University, Tiruchirappalli 620024, Tamilnadu, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 24, 2015
Summary
We explored rogue waves and breather solutions in the Gross-Pitaevskii equation using various traps. Changing trap parameters can transform higher-order rogue waves into simpler ones, aiding experimental management in Bose-Einstein Condensates (BEC).
Area of Science:
- Nonlinear physics
- Quantum mechanics
- Bose-Einstein Condensates
Background:
- The Gross-Pitaevskii equation describes Bose-Einstein Condensates (BECs).
- Rogue waves and breathers are complex nonlinear phenomena.
- Controlling these phenomena in BECs is crucial for experimental applications.
Purpose of the Study:
- To construct higher-order rogue wave solutions and breather profiles.
- To investigate the influence of different trap potentials on these solutions.
- To explore methods for managing rogue waves in BEC systems.
Main Methods:
- Utilizing the similarity transformation technique.
- Analyzing the quasi-one-dimensional Gross-Pitaevskii equation.
- Considering time-independent expulsive, time-dependent monotonous, and time-dependent periodic traps.
Main Results:
- Higher-order rogue waves transform into first-order-like waves when trap parameters are altered.
- The shapes of breather solutions are tunable by adjusting trap strength.
- Demonstrated control over rogue wave characteristics through trap manipulation.
Conclusions:
- The study provides insights into managing rogue waves in BECs.
- Findings offer a pathway for experimental control of nonlinear phenomena in BECs.
- The employed methods can be extended to other nonlinear systems.
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