Modulation of localized solutions for the Schrodinger equation with logarithm nonlinearity

被引：30
|
作者：
Calaca, L. [1 ]
Avelar, A. T. [1 ]
Bazeia, D. [2 ,3 ]
Cardoso, W. B. [1 ]
机构：
[1] Univ Fed Goias, Inst Fis, BR-74001970 Goiania, Go, Brazil
[2] Univ Sao Paulo, Inst Fis, BR-05314970 Sao Paulo, Brazil
[3] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba, Brazil
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 09期
基金：
巴西圣保罗研究基金会;
关键词：
Nonlinear Schrodinger equation; Logarithm nonlinearity; Similarity transformation; Solitons; SOLITONS; MEDIA; MODEL; TIME;
D O I：
10.1016/j.cnsns.2014.02.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the presence of localized analytical solutions of the Schrodinger equation with logarithm nonlinearity. After including inhomogeneities in the linear and nonlinear coefficients, we use similarity transformation to convert the nonautonomous nonlinear equation into an autonomous one, which we solve analytically. In particular, we study stability of the analytical solutions numerically. (C) 2014 Elsevier B. V. All rights reserved.
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页码：2928 / 2934
页数：7
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