Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion

Three well known properties of solitons will be discussed in this paper, like Painleve test (P-test), Hirota bilinear method (HBM) and extended modified auxiliary equation mapping (EMAEM) architectonic in saturable cubic quintic nonlinear media (SCQNM) in the presence of nonlinear dispersion. The P-test will be used to examine the integrability of our governing model. For finding multiple soliton interaction HBM scheme will be adopted. EMAEM architectonic will be implemented in order to obtain some new solitary wave solutions like bright dromion (soliton), domain wall, singular, periodic, doubly periodic, trigonometric, rational and hyperbolic solutions etc. Graphical outcomes (3D, 2D, and density plots) will be shown to reflect the actual behavior of results.