Abstract
The dynamics of gap solitons in random gratings is studied. We show that the influence of disorder is averaged over the soliton width, so that the soliton acts as a low-pass filter. The averaging results in an effective potential, which can trap solitons. The statistical properties of the potential are found. We show that soliton trapping is related to level crossing by a random function, which allows us to find the mean number of soliton reflections and the mean distance between consecutive reflections.
Sign-in/Register to access full text options 
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 callDisclaimer: 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.
