The simplest oscillating solutions of nonlocal nonlinear models

In their recent works, Ablowitz and Musslimani proposed a new type of integrable nonlinear equations – nonlocal analogues of the nonlinear Schrödinger equation, the modified Korteweg-de Vries equation, and other nonlinear differential equations. In subsequent works, numerous researchers constructed the simplest soliton and rational solutions of these equations. In this paper, we construct the simplest oscillating solutions of some of the integrable nonlocal nonlinear differential equations associated to the nonlinear Schrödinger equation.