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

页码：4847 / 4852

页数：6

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