The most likely type of a wve to mp3 conversion seems to be the export of Wondershare Video Editor projects (wve) as MP3s, which will only export the audio track not the whole video. If you looking for this conversion, then you can do that in the program using the default export function. Wondershare also offers trial version, so it may be worthwhile to check the program if you are attempting this conversion.
Another program which uses .wve projects eligible for conversion to MP3 would be WaveEditor from Cyberlink PowerDirector. But that is completely different conversion, but only works for .wve files from PowerDirector.
Updated: January 2, 2017