It is a bug of JSF,JAVASERVERFACES_SPEC_PUBLIC-790 , and will be fixed in version 2.3. (thanks to BalusC for correcting my post.)
You can use this script to solve the issue.
Here is a good answer about the invokation of commandLink and commandButton. I also suggest you to design your page accordingly.
However, there is a PrimeFaces solution which works for me. It works if you give the button which form will be proceed and which will be rendered after ajax request.
your action returns to page2
Some Components
