Matter wave soliton solutions of the cubic-quintic nonlinear Schrodinger equation with an anharmonic potential

被引：3
|
作者：
Liu, Yifang [1 ]
Li, Guo-Rong [2 ]
机构：
[1] Cent Univ Finance & Econ, Sch Econ, Beijing 100081, Peoples R China
[2] Dalian Med Univ, Dept Hlth Stat, Coll Publ Hlth, Dalian 116044, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Cubic and quintic nonlinearities; Anharmonic potential; Similarity transformation; Localized stationary solution; Matter wave soliton; Linear stability; EXTENDED TANH METHOD;
D O I：
10.1016/j.amc.2012.10.110
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the cubic-quintic nonlinear Schrodinger equation with an anharmonic potential is studied both analytically and numerically. As a result, two families of matter wave soliton solutions are obtained and their stability is analyzed by linear stability analysis and dynamical evolutions. It is shown that the spatially inhomogeneous cubic-quintic nonlinearities and the anharmonic potential can support stable matter wave solitons. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：4847 / 4852
页数：6
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