Complex sentence: In 2009 accelerating "Airy like" beams have been observed for the first time in non-linear systems and again investigated in 2011 and 2012 and they have been demonstrated for even for other types of equations such as Helmholtz equation, Maxwell's equations.
Split into simpler sentences: In 2009 accelerating "Airy like" beams have been observed for the first time in non-linear systems and again they have been investigated in 2011 and 2012. Later, Airy beams have been demonstrated for other types of equations such as Helmholtz equation, Maxwell's equations.