Gürses, MetinPekcan, A.2019-02-212019-02-21201897830300137522194-1009http://hdl.handle.net/11693/50128Conference name: SDEA-IIIDate of Conference: August 2017We present some nonlocal integrable systems by using the Ablowitz-Musslimani nonlocal reductions. We first present all possible nonlocal reductions of nonlinear Schrödinger (NLS) and modified Korteweg-de Vries (mKdV) systems. We give soliton solutions of these nonlocal equations by using the Hirota method. We extend the nonlocal NLS equation to nonlocal Fordy-Kulish equations by utilizing the nonlocal reduction to the Fordy-Kulish system on symmetric spaces. We also consider the super AKNS system and then show that Ablowitz-Musslimani nonlocal reduction can be extended to super integrable equations. We obtain new nonlocal equations namely nonlocal super NLS and nonlocal super mKdV equations.EnglishAblowitz-Musslimani type reductionsHirota bilinear methodNonlocal Fordy-Kulish systemNonlocal NLS and mKdV equationsNonlocal super integrable NLS and mKdV equationsSoliton solutionsConference Paper10.1007/978-3-030-01376-9_210.1007/978-3-030-01376-9