Exact bright and dark soliton solutions of integrable nonlocal coupled nonlinear Schrodinger equations using gauge transformation

We examine the gauge transformation and soliton solutions of an ordinary integrable nonlocal coupled nonlinear Schrodinger equation (CNLSE). This equation encompasses the nonlocal four-wave mixing terms, as well as the nonlocal cross-phase and self-phase modulation. An example of a nonlocalized coupled nonlinear Schrodinger equation system is this nonlocal CNLSE. We employ the gauge transformation approach to derive a soliton solution from the Lax pair. Additionally, by appropriately selecting the amplitude-dependent factors in the Lax pair, numerous brilliant and dark soliton solutions are achieved. A phenomenon that has never been highlighted before, the paper’s findings underscore the fruitfulness of constructing soliton solutions in the integrable nonlocal CNLSE.