Optical Solitons and traveling wave solutions to Kudryashov?s equation

This paper employs a generalized transformation to investigate Kudryashov's equation with four nonlinear terms in order to construct traveling wave solutions and optical solitons. The proposed unified ansatze framework is manipulated to derive analytical solutions, which are expressed as a combination of general solutions to simpler equations or systems of equations that are integrable or have unique known solutions. Using this technique, one can produce families of new exact solutions as well as solitary solutions. In addition to other model solutions, the scheme reveals the elliptic functions of Jacobi, Weierstrass, and Riccati. These are categorized as singular, bright, and dark optical solitons.