{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T22:42:50Z","timestamp":1648852970070},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2016,11]]},"abstract":"<jats:p>We study the [Formula: see text]-dimensional generalized cubic-quintic nonlinear Schr\u00f6dinger equation (GCQ\u2013NLSE) 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\u2013NLSE through the [Formula: see text]-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\u2013NLSE. We show that our derived results match pretty well with measured sound velocity values in the off-center regions of the BCS\u2013BEC crossover regime under the same parametric setting, demonstrating the applicability of our theoretical treatment.<\/jats:p>","DOI":"10.1142\/s0218127416501959","type":"journal-article","created":{"date-parts":[[2016,11,22]],"date-time":"2016-11-22T07:46:26Z","timestamp":1479800786000},"page":"1650195","source":"Crossref","is-referenced-by-count":1,"title":["Analytical Solution and Soliton-Like Behavior for the (1+1)-Dimensional Quantum System with Generalized Cubic-Quintic Nonlinearity"],"prefix":"10.1142","volume":"26","author":[{"given":"Ying","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu 212003, P. R. 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