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Sulem, C. and Sulem, P. L., The Nonlinear Schrödinger Equation, Springer, New York, 1999.

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Article

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

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


American Journal of Mathematical Analysis. 2014, Vol. 2 No. 2, 28-32
DOI: 10.12691/ajma-2-2-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Ying Wang, Qing-Chun Zhou, Ya-Lun Li, 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.

Correspondence to: Yu  Zhou, School of Mathematics and Physics, Jiangsu University of Science and Technology, Jiangsu, China. Email: yzhou@just.edu.cn

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