Dynamics of Rational and Lump-Soliton Solutions to the Reverse Space-Time Nonlocal Hirota-Maccari System

Abstract

We mainly construct lump-soliton solutions of the (2 + 1)-dimensional reverse space-time Hirota-Maccari (HM) equation by using the KP hierarchy reduction method. Meanwhile, with the help of a long wave limit, rational solutions to nonlocal HM equation are studied. According to the appropriate parameter selections, these solutions can be divided into two types: line soliton solutions and lump-soliton solutions. Moreover, we obtain one-lump, two-lump and W-type soliton to the nonlocal HM equation. These new lump-soliton solutions expand the structure of nonlocal nonlinear systems and aid in the comprehension of physical phenomena.