Abstract:
This study investigates the solitary wave solutions to the defocusing nonlinear Schrödinger equation, which is
known as Camassa–Holm-Nonlinear Schrödinger (CH-NLS) equation. The CH-NLS equation is newly derived
in the sense of deformation of hierarchies structure of integrable systems. By implementing three different
techniques, namely, the generalized (𝐺′∕𝐺)-expansion method, the new mapping method, and the modified
simple equation method, the CH-NLS equation is solved analytically to find the exact solutions. As a result,
various types of solitons such as dark, singular, and periodic solutions are obtained. The behaviors of some
exact solutions are presented by figures.
