  In this semi-expository article, we study Born-Infeld soliton surfaces as
zero mean curvature surfaces and derive conformal parameters for them. Then we
present two approaches to solve the Bj\"orling problem for such surfaces, one
of them treating them as time-like minimal surfaces and the other one using the
Barbashov-Chernikov representation. Finally, we show that the solution to the
Bj\"orling problem may not be unique unlike minimal and maximal surfaces.
