Perez-Garcia, VMBerloff, NGKevrekidis, PGKonotop, VVMalomed, BA2024-04-262024-04-262009-01https://hdl.handle.net/20.500.14394/34696The published version is located at http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6TVK-4W8VVXY-1&_user=1516330&_coverDate=07%2F15%2F2009&_rdoc=1&_fmt=high&_orig=search&_origin=search&_sort=d&_docanchor=&view=c&_searchStrId=1579314297&_rerunOrigin=google&_acct=C000053443&_version=1&_urlVersion=0&_userid=1516330&md5=6aa4a6d31e62db0f8e49eb553e982e7c&searchtype=aIn this introductory survey, we give an overview of the main physical problems and corresponding themes of research addressed in this Special Issue. We also briefly discuss some avenues of potential interest for future research in degenerate quantum gases.Nonlinear Schrodinger equationsGross-Pitaevskii equationDegenerate quantum gasesNonlinear phenomenaSolitonsVorticesMatter wavesPhysical Sciences and Mathematicsarticle