Existence of multiple breathers for discrete nonlinear Schrodinger equations

Files
zhou.pdf (240.22 KB)
Date
2019-02-14
Authors
Zhou, Tao
Liu, Xia
Shi, Haiping
Wen, Zongliang
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we study discrete nonlinear Schrödinger equations without periodicity assumptions. We show the existence of multiple solutions of the form u n e -iwt (called breathers) by using Clark's Theorem in critical point theory.
Description
Keywords
Breather, Discrete nonlinear Schrödinger equation, Subquadratic, Critical point
Citation
Zhou, T., Liu, X., Shi, H., & Wen, Z. (2019). Existence of multiple breathers for discrete nonlinear Schrodinger equations. <i>Electronic Journal of Differential Equations, 2019</i>(27), pp. 1-12.
URI
https://hdl.handle.net/10877/14724
Collections
Electronic Journal of Differential Equations