Jonas Brothers to Demi: "Best of Luck"

As singer enters treatment for emotional issues she isn't being replaced in concerts

Despite all the backstage drama, the Jonas Brothers have nothing but good thoughts going out to Demi Lovato.

After abruptly leaving the JoBros tour in South America to seek treatment for "personal issues," a rep says the tour will continue on its final few dates without a replacement opening act.

"Everyone on the tour obviously wishes her the best of luck and wishes her well," a rep for Live Nation says in a statement.

The band has a half-dozen dates left including stops this week in Chile and Brazil before wrapping Nov. 13, in Buenos Aires.

A source close to Lovato's family confirm to E! News that there was a "physical altercation" between Demi and a backup dancer during the weekend tour stop in Peru. Meanwhlie, a tour insider says that after the incident, all the dancers got a "warning" to keep quiet about the scuffle or risk  violating their confidentiality agreements.

This was the incident that pushed Lovato to the breaking point, the sources say, and led her to take "personal responsibility" for her actions.