Dynamics of lump-soliton solutions to the PT-symmetric nonlocal Fokas system

We use the bilinear Kadomtsev-Petviashvili (KP) hierarchy reduction method for deriving new families of explicit lump-soliton solutions to the PT-symmetric nonlocal Fokas system. These lump-soliton solutions are semi-rational solitons that are classified into three different species under appropriate parametric restrictions: line solitons, rational lumps, and semi-rational lump-soliton solutions. There are three different fundamental lump-soliton solutions: two-line soliton, rational two-lump solution, and two-lump-two-line-soliton solution. The two-line-soliton solution displays five patterns according to their asymptotic analysis, the rational two-lump solution possesses six distinct patterns, and the two-lump-two-line-soliton solution has four different patterns. The two-lump-two-line-soliton solution displays inelastic interaction phenomena consisting of two lumps fusing into or fissioning from the two-line soliton. The multi-lump-soliton solutions illustrate the superimposition of N (N >= 2) individual fundamental lump-soliton solutions: 2N-line solitons, rational 2N-lumps, and 2N-lump-2 (N) over tilde -line solitons ((N) over tilde <= N). The higher-order lump-line-soliton solutions consist of rational 2n(0)-lump (n(0) >= 2) solutions or 2n(0)-lump-two-line-soliton solutions. (C) 2020 Elsevier B.V. All rights reserved.

Automated summary

The study utilizes the bilinear KP hierarchy reduction method to derive new families of lump-soliton solutions for the PT-symmetric nonlocal Fokas system. These solutions are classified into three species under appropriate parametric restrictions and exhibit different patterns and interaction phenomena.