There’s no direct way how to search for a string across all methods of a Web Dynpro, it is always possible to search in just one method only. Using the approach I’m going to present it is possible to find the SAP internal name of the impementing class and then search across the whole class in classic SE24 transaction for editing classes.

1. Run SE24 and open class called CL_WDY_WB_NAMING_SERVICE
2. Execute the class, run its method GET_CLASSNAME_FOR_COMPONENT and use the name of the WebDynpro component you want to search in as input parameter
3. As result you get the wrapper class name for your WebDynpro – copy this class name to clipboard
4. In SE24 open the class you have in your clipboard and search for desired text as usually
5. From the search result you can navigate to different methods of different WebDynpro pseudocomponents directly.