Mixed localized wave solutions of the (2+1)-dimensional Fokas-Lenells equation

Abstract

In this paper, we investigate the mixed localized wave solutions of the (2+1)-dimensional Fokas-Lenells equation. These localized wave solutions contain solitons, degenerate solitons, lumps and lump chains. Our focus is the mixed solutions including solitons and degenerate solitons, lumps and lump chains. The effective method we use to obtain the above solutions is generalized (n, M)-fold Darboux transformation. The characteristics and properties of these solutions are discussed analytically and graphically. Actually, these solutions can change the strength of the interactions by adjusting parameters, and preserve their own properties throughout the interaction process.