New soliton solutions of nonlinear Kudryashov’s equation via Improved tan (ϕ(µ)‎ )‎-expansion approach in optical fiber

Abstract EN

In this article, a newly introduced model nonlinear Kudryashov’s equation with anti-cubic nonlinearity is considered for extraction of soliton solutions.

This model is utilized to depict the propagation of modulated envelope signals which disseminate with some group velocity.

To find a solution, an appropriate traveling wave hypothesis is used to covert the given model into a nonlinear ordinary differential equation.

An analytical technique, the Improved tan ϕ(µ) 2 -expansion approach has been employed on the governing model to construct many new forms of dark soliton, singular soliton, periodic soliton, darksingular combo soliton and rational solution.

The constraint conditions for the existence of these solitons have also been provided.

The physical significance of the proposed equation has been provided with a graphical representation of the constructed solutions