Families of soliton solutions and other exact solutions of the (2+1)-dimensional chiral nonlinear Schrödinger equation

In this work, we study the (2+1)-dimensional chiral nonlinear Schrodinger equation (CNLSE), which is essential in the fields of nonlinear optics, plasma physics, and fluid mechanics. Traveling wave analytical algorithms reveal a variety of solitons and other exact solutions with distinct physical structures. To obtain the families of exact solutions we implement effective methods, including hyperbolic schemes, trigonometric techniques, singular and periodic waveforms, and rational functions methods. Utilizing various forms of the proposed techniques we uncover a wealth of traveling wave solutions of the CNLSE. The obtained results demonstrate the ability of these techniques to generate a diverse range of solutions along with the corresponding parameter constraints. This highlights the effectiveness of these methods in elucidating the intricate dynamics of the CNLSE. The obtained results can serve many researchers interested in studying nonlinear phenomena in plasma physics, nonlinear optics, and fluid mechanics, given the connection of the CNLSE under study to these scientific areas.