The soliton solutions and evolution of the (2+1)-dimensional dissipative long wave equation

Abstract

With the help of Mathematica symbolic calculation software, the new soliton solutions of the (2 + 1)-dimensional dissipative long wave equation were obtained by utilizing the exp(-Φ(ξ)) expansion method and the variable separation method, which include the linear soliton solution, periodic lump solution, ring soliton solution, and solitoff soliton solution. The elastic collision, soliton fission, and soliton annihilation of the soliton solution of the (2+1)-dimensional dissipative long wave equation were discussed as well in this paper.

Keywords

• exp(-Φ(ξ)) expansion method
• Variable separation method
• (2+1)-dimensional dissipative long wave equation
• Soliton solution