Abstract
This paper studied the exact traveling wave solutions of time-dependent Ginzburg-Landau (TDGL) theory for atomic fermi gases near the Bardeen-Cooper-Schrieffer to Bose-Einstein condensation (BCS-BEC) crossover. When g = 0, we utilize the Jacobi elliptic function expansion method and homogeneous balance method to obtain some exact traveling wave solutions, including some envelop solitary wave solutions; since \(g\not=0\), we introduce an auxiliary function to get some exact traveling wave solutions under the condition that d is a complex, and a numerical result is provided in the end.
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Guo, C., Fang, S., Wang, X. (2010). Exact Traveling Wave Solutions of Time-Dependent Ginzburg-Landau Theory for Atomic Fermi Gases Near the BCS-BEC Crossover. In: Zhu, R., Zhang, Y., Liu, B., Liu, C. (eds) Information Computing and Applications. ICICA 2010. Communications in Computer and Information Science, vol 106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16339-5_15
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DOI: https://doi.org/10.1007/978-3-642-16339-5_15
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