Optical solutions for the (3+1)-dimensional YTSF equation

Nonlinear Yu–Toda–Sassa–Fukuyama equation (YTSFE) exhibit significant a fluid dynamics, plasma physics and weakly dispersive media. In this study, we given solutions to (3+1)-dimensional YTSF equation representing the wave propagation through incompressible fluids. We found the exact solutions of the high-dimensional YTSF equation. We obtained new exact solutions of the (3+1)-dimensional nonlinear Yu–Toda–Sassa–Fukuyama equation, which are not available in the literature, using three different methods. This solutions of this equation have not been found in the literature until now.