The most recent Atkins book (A New You) has lots of advice for doing the plan as a vegetarian. I follow veggie Atkins, with great success. Get a copy of the book from the library initially or, much better of course, buy one cheap on amazon!
Many people still think Atkins is all meat, meat, meat and meat but it truly isn't and it has changed and adapted in countless ways over the years, whilst still retaining the core low-carb principles.
Losses won't be VLCD-style, though! This is not a superfast loss diet, rather it is a new and wonderful way of eating and also of relating to food. And it offers ketosis, plus tasty grub. What's not to like? lol.