A three-wave interaction model with self-consistent sources: The (partial derivative)over-bar-dressing method and solutions

In the paper, we study the three-wave interaction model with self-consistent sources by virtue of the (partial derivative) over bar -dressing method. The explicit solutions, including one-soliton, two-soliton solution are obtained. In addition, on the basis of the three-wave interaction model with self-consistent sources, we obtain the generation of second harmonics with self-consistent sources. (C) 2015 Elsevier Inc. All rights reserved.