Mixed-type solitons and soliton interaction for the (2+1)-dimensional two-component long wave–short wave resonance interaction equations in a two-layer fluid through the Bell polynomials

Abstract

In this work, we investigate the ( 2 + 1 )-dimensional two-component long wave–short wave resonance interaction equations in a two-layer fluid. Through the Bell polynomials, bilinear forms and mixed-type soliton solutions are derived. Such soliton phenomena as the V-type solitons, two parallel solitons with the periodic interaction, breather-type solitons and semi-breather-type solitons are observed, and the relevant parameter conditions are presented.