科研之友
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摘要
We study the (1 + 1)-dimensional generalized cubic-quintic nonlinear Schrodinger equation (GCQ-NLSE) with two nonlinear terms that is in cubic-quintic formulation and the general format of polytropic approximation. We find the analytical solution of the GCQ-NLSE through the F-expansion method without utilizing any integrability condition. We apply the analytical results to the concrete system that supports dark soliton and reach the analytical formula for the sound speed based on the results from the theoretical treatment of GCQ-NLSE. We show that our derived results match pretty well with measured sound velocity values in the off-center regions of the BCS-BEC crossover regime under the same parametric setting, demonstrating the applicability of our theoretical treatment.
