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Breathers of discrete one-dimensional nonlinear Schr
JI Shu-Guan, WANG Zhen-Hua
College of Mathematics, Jilin University, Changchun 130012
*Correspondence author
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Funding: SRFDP （No.20120061110004）, NCET （No.12-0228）, National 973 Program of China（No.2012CB821200 and 2013CB834102）, Partially supported by NSFC （No.11171130 and 11322105）
Opened online:23 June 2016
Accepted by: none
Citation: JI Shu-Guan, WANG Zhen-Hua.Breathers of discrete one-dimensional nonlinear Schr[OL]. [23 June 2016] http://en.paper.edu.cn/en_releasepaper/content/4697308
 
 
The nonlinear Schr"odinger equation arises in several areas of physics, such as opticsor quantum mechanics. In recent years, the discrete nonlinear Schr"odingerequation became a strong focal point. This paper is concerned with the breathers of discreteone-dimensional nonlinear Schr"odinger equations in inhomogeneousmedia. By using a constrained minimization approach known as theNehari variational principle or the Nehari manifold approach, weobtain the existence of nontrivial breathers.
Keywords:Schr
 
 
 

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