Conservation laws and solutions for a (2 + 1)-dimensional generalized breaking soliton system

摘要

In this paper a (2+1)-dimensional generalized breaking soliton system, which describes the (2+1)-dimensional interaction of a Riemann wave propagating along the y-axis with a long wave along the x-axis is studied. Exact explicit solutions of this system are obtained using its three translation symmetries along with the (G'/G)-expansion method. In addition to this we employ the multiplier method to construct conservation laws for the underlying system.