Exact solutions of the generalized (2+1)-dimensional shallow water wave equation

Abstract

In this paper, we construct abundant exact solutions of generalized (2+1)-dimensional shallow water wave equation via the Hirota bilinear method and test functions. We obtain exact interaction solutions, such as solitons, lump solutions and lump-periodic solutions for the generalized (2+1)-dimensional shallow water wave equation degenerated by the generalized (3+1)-dimensional shallow water wave equation which introduced by Sakkaravarthi et al.

Keywords

• Hirota bilinear form
• Interaction phenomena
• Generalized (2+1)–dimensional shallow water wave equation
• N-lump solution
• N-soliton solution