کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4609411 | 1338510 | 2016 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities Standing waves for discrete Schrödinger equations in infinite lattices with saturable nonlinearities](/preview/png/4609411.png)
چکیده انگلیسی
In this paper, we consider the periodic discrete nonlinear equation{Lun−ωun=±gn(un),n∈Z,lim|n|→∞un=0, where L is a Jacobi operator, and the nonlinearities gn(s)gn(s) are asymptotically linear as |s|→∞|s|→∞. In the two different cases (ω is a spectral endpoint of L, or it belongs to a finite spectral gap of L), we obtain the existence of nontrivial solitons of this equation by using variational methods. In particular, a necessary and sufficient condition is obtained for the existence of gap solitons of the nonlinear equation. Here, solitons appear when we look for standing waves of some discrete nonlinear Schrödinger equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 6, 15 September 2016, Pages 3493–3518
Journal: Journal of Differential Equations - Volume 261, Issue 6, 15 September 2016, Pages 3493–3518
نویسندگان
Guanwei Chen, Shiwang Ma, Zhi-Qiang Wang,