Abstract

Localized modes are analysed for a chain with nonlinear on-site potential using an approximation based on the discrete nonlinear Schrödinger equation. It is pointed out that such localized modes exist in the parameter domains where the system displays modulational instability. Otherwise, nonlinear modes may appear in the form of dark-profile localized structures, and two types of such structures are found. The decay time of strongly localized nonlinear modes is also estimated.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.