The N-soliton solutions of the (2+1)-dimensional Hirota–Satsuma–Ito equation

Abstract

Through the Bäcklund transformation and Hirota bilinear form, the explicit solutions with localized structures for the (2+1)-dimensional Hirota–Satsuma–Ito equation are solved. These structures include several soliton molecules and hybrid structures, which mainly involve the Y-type solitons, lumps and breathers. All of the dynamic features are depicted in our paper.

Keywords

• (2+1)-dimensional Hirota–Satsuma–Ito equation
• Explicit solution
• Soliton molecule
• Hybrid structure