New soliton solutions of some important nonlinear systems via He’s variational principle. (English) Zbl 1259.35177
Summary: In this paper, we establish new soliton solutions for nonlinear equations. The He’s semi-inverse variational principle is used to construct new soliton solutions of these equations. We apply He’s semi-inverse variational principle to establish a variational theory for the dispersive long wave system and Maccari system. The condition for continuation of the new solitary solution is obtained.