Abstract
•(2+1)-Dimensional variable-coefficients nonlinear Chiral Schrodinger equation.•To extract dark, bright, singular solitons and periodic wave solutions.•The use of five direct test functions.•Visualization of results via 3-dimensional and contour plots.
Variable-coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and non-uniformities of boundaries than their counter constant-coefficients in some real-world problems. This study investigates the nonautonomous complex wave solutions to the (2 + 1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation (VCCE). The edge states of the fractional quantum hall effect is described by VCCE. We successfully reached the dark, bright, singular solitons and periodic wave solutions to this nonlinear model. To give more information about the physical features of the reported solutions, 3D and contour plots are successfully depicted in this paper.