Existence of multiple breathers for discrete nonlinear Schrodinger equations

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.

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Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

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