You can find communication literature in many publications. You can use a specific, subject index such as Communication & Mass Media Commplete (CMMC) to find articles. Listed below are a couple of relevant journals. You can also use the search box at the top of the page or search using Web of Science.
Want an easy way to keep up with the journal literature for all facets of Communication? And you use a mobile device? You can install the BrowZine app and create a custom Bookshelf of your favorite journal titles. Then you will get the Table of Contents (ToCs) of your favorite journals automatically delivered to you when they become available. Once you have the ToC's you can download and read the articles you want.
You can get the app from the App Store or Google Play.
Don't own or use a mobile device? You can still use BrowZine! It's now available in a web version. You can get to it here. The web version works the same way as the app version. Find the journals you like, create a custom Bookshelf, get ToCs and read the articles you want.