Bright and Dark Optical Soliton Solutions for a Nonlinear Schrödinger Equation With Kerr Law Nonlinearity and Weak Nonlocality

In this paper, we investigate a nonlinear Schrödinger equation that includes a combination of Kerr law nonlinearity and weak nonlocality. The model includes linear and nonlinear dispersion and has several applications in nonlinear optics and optical fibers. We retrieve bright, dark, and singular soliton solutions for this system. We implement a variety of powerful schemes to derive this variety of optical soliton solutions. Moreover, we derive more solutions of distinct structures that include periodic and exponential solutions.