Statler College of Engineering and Mining Resources
Mechanical and Aerospace Engineering
We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinearinteraction term is of arbitrary polytropic index of superfluid wave function. We also eliminate the interdependence between variable coefficients of the equation terms avoiding the restrictions that occur in some other works. The exact soliton solutions of the GGPE are obtained through the delicate combined utilization of modified lens-type transformation and F-expansion method with dominant features like soliton type properties highlighted.
Digital Commons Citation
Wang, Ying and Zhou, Yu, "Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method" (2014). Faculty & Staff Scholarship. 2551.
Wang, Y., & Zhou, Y. (2014). Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method. AIP Advances, 4(6), 67131. https://doi.org/10.1063/1.4884637