A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index

Modelling the movement of waves and the propagation of waves is extremely important in the field of fluid dynamics. All types of waves phenomena are very important in real-life implementations. We use an efficient solver and the improved F-expansion approach to obtain precise traveling wave solutions to the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index. All acquired solutions are in the form of trigonometric, hyperbolic, and rational function solutions, and the resulting solutions are applicable to real-world problems in fluid dynamics, optical fibers, plasma physics, and so on. Furthermore, we depicted the threedimensional and contour graphs to illustrate the behavior of some obtained solutions.

Automated summary

Modeling the movement and propagation of waves is crucial in fluid dynamics. All types of wave phenomena have significant importance in practical applications. This study effectively solves the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index using an efficient solver and an improved F-expansion approach, obtaining trigonometric, hyperbolic, and rational function solutions that are applicable to real-world problems in fluid dynamics, optical fibers, plasma physics, and more. Additionally,three-dimensional and contour graphs are used to illustrate the behavior of some obtained solutions.