New insight to the shallow-water studies on a (2+1)-dimensional generalized Broer-Kaup system.

Of current interest, there have recently appeared a series of the shallow-water papers in <italic>Mod. Phys. Lett. B</italic>. Illuminated by those papers and to make the story more complete, for the nonlinear long waves in the shallow water, this paper is scheduled to investigate a (2+1)-dimensional generalized Broer-Kaup system. As for the wave height and wave horizontal velocity, we employ symbolic computation, with the view of constructing out two groups of the similarity reductions. [ABSTRACT FROM AUTHOR]