In this study, we have worked on GKM in order to obtain the soliton solutions of generalized third-order nonlinear Schrödinger equation. Thus, acquired some new equation which has an important usage area optical fiber. Also, drawn 2D and 3D surfaces these obtained results by using Wolfram Mathematica 12. Then, shown validity solutions.

This paper studies nonlinear wave propagation in a bubble-liquid mixture based on the third-order Kudryashov–Sinelshchikov (KS) equation. Symmetry is classified and reduced through symmetry group method. Through generalized conditional method, this equation classified, considered are second, third, fourth, fifth-order, respectively. Meanwhile, equations transformed into system of ordinary diffe...