Abstract
In this paper, the exact solutions to the AB nonlinear system are investigated. This system is reduced via two different transformations to a sine-Gordon equation and a quasilinear equation for a new dependent variable phi. Solutions to a sine-Gordon equation and a quasilinear equation are found. Hence, the original system can well be solved for such phi. Also, a similar approach is proposed to solve analytically an eventual extension system for the case of variable coefficients.