Visualizing the scientific outputs in the field of nonlinear analysis (NA) and Mapping the co-author network of researchers in the Web of Science database (WOS) were the main purpose of this research based on scientometric methods. The rate of authors, source titles, Countries/Regions, research area and organizations in NA filed at WOS during 1985-2019 was determined. Co-author network, university co-authorship network and Country co-authorship network in NA filed at WOS during the time span investigated, also were identified by researchers. Totally, 12188 documents on NA subject were indexed on the web of science core collection from 1985 to 2019. The co-author network was mapped and analyzed. The results showed that there is an increasing rate of publishing documents in NA during the time of research.