Exact Soliton Solutions of the 1D Generalized Gross-Pitaevskii Equation with Quadratic Potential and Parameterized Nonlinearity

Ying Wang¹, Qing-Chun Zhou¹, Ya-Lun Li¹ and Yu Zhou^1,

¹School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu, China

Cite this paper:
Ying Wang, Qing-Chun Zhou, Ya-Lun Li and Yu Zhou. Exact Soliton Solutions of the 1D Generalized Gross-Pitaevskii Equation with Quadratic Potential and Parameterized Nonlinearity. American Journal of Mathematical Analysis. 2014; 2(2):28-32. doi: 10.12691/ajma-2-2-3

Abstract

We investigate the 1D generalized Gross-Pitaevskii equation (GGPE) with quadratic potential and parameterized nonlinearity. The coefficients of terms of GGPE studied are arbitrary functions of time t. The exact solution(s) of the GGPE are obtained via expansion method with particular soliton features highlighted.

Keywords:
Gross-Pitaevskii equation lens-type transformation expansion method soliton

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