BRIGHT SOLITONS IN THE SPACE-SHIFTED PT-SYMMETRIC NONLOCAL NONLINEAR SCHRODINGER EQUATION

Under investigations in this paper are the bright solitons on the zero and periodic wave background in the space-shifted PT-symmetric nonlocal nonlin-ear Schro center dot dinger equation. These soliton solutions are constructed through the bilinear KP-hierarchy reduction method, and are given in terms of determinants. The collision dynamics of bright two-soliton solutions on the zero background are studied based on their asymptotic expressions. The bright four-soliton solutions can form bound state two-soliton pairs. The bright two-soliton solutions on the periodic wave background are also studied. Compared with the case of solitons on the zero background, the bright two-soliton solutions on the periodic wave background have completely different dy-namics, even though the periodic waves vanish into the background.

Automated summary

This paper investigates the bright solitons on both zero and periodic wave backgrounds in the space-shifted PT-symmetric nonlocal nonlinear Schrödinger equation. The soliton solutions are obtained using the bilinear KP-hierarchy reduction method and expressed in terms of determinants. The collision dynamics of bright two-soliton solutions on the zero background are studied based on their asymptotic expressions. The bright four-soliton solutions can form bound state two-soliton pairs. The dynamics of bright two-soliton solutions on the periodic wave background are found to be completely different from those on the zero background, even when the periodic waves vanish into the background.