Killing japanese climbing fern

HI. My back yard soil is full with some climbing fern roots. I guess Japanese or old world climbing fern. I'm tried to dig it out the long roots, tried to kill with chemical, but this roots everywhere in the yard, 4-5 inches below the surface.Some of them 40-50 feet long or more, and is under the grass, under my other plants. How can I kill it without to kill my other plants?

Read the information at the link below - it proves that there is very little one can do to control this weed.

http://plants.ifas.ufl.edu/parks/japanese_climbing_fern.html

Very simple!

Every time you see it surface in your garden, pull it out.

The vinegar people say to spray with vinegar. I have no idea if that works.