Extraction of solitons from nonlinear refractive index cubic-quartic model via a couple of integration norms

摘要

In this paper, the nonlinear refractive index cubic-quartic model is investigated using the couple of integration schemes namely, new extended generalized Kudryashov and improved tan(phi/2)-expansion. These methods are based on an auxiliary equation and traveling wave transformation. As a result, we have a variety of new solutions, including exponential, hyperbolic and rational functions. To explain the dynamics of soliton profiles, graphical depiction of newly discovered solutions for appropriate parametric values is also presented. It is acknowledged that the approaches utilized are effective and influential instrument for developing solitary wave solutions to nonlinear problems found in mathematical physics.