THE MULTIPLE BRIGHT SOLITON PAIRS OF THE FULLY PT-SYMMETRIC NONLOCAL DAVEY-STEWARTSON I EQUATION

This article investigates the dynamics of multiple bright soliton pair interactions in the fully PT -symmetric nonlocal Davey-Stewartson I equation. The bright soliton pair solutions are derived by employing the bilinear KP-hierarchy reduction method, and are expressed in terms of determinants. To study the interactions of the multiple soliton pairs, the long-time asymptotic analysis for these soliton solutions is performed by using the analysis of determinants, and the asymptotic expressions of the N individual soliton pair solutions are given as the sum of expressions for the 2 N single soliton solutions. The asymptotics shows that the soliton pairs only exhibit elastic collisions and the two solitons in each soliton pair share equal amplitudes.