Optical solitons of the cubic–quartic-nonlinear Schrödinger’s equation having cubic–quintic–septic–nonic form of self-phase modulation

Abstract

This paper is object to construct the optical solitons of the cubic–quartic-nonlinear Schrödinger’s equation having cubic–quintic–septic–nonic form of self-phase modulation. All optical solitons, including the rational function solution, the trigonometric function solution, the exponential function solution, the solitary wave solution, the elliptic double periodic function solution and the Jacobian function solution, are acquired via the complete discrimination system technique. Optical solitons are treasure-trove in the field of telecommunications. The results of this paper will be beneficial to further acquaintance with the complete picture of soliton dynamics system. Moreover, for the purpose of physical illustration presenting in visual form, we represent some of the obtained solutions graphically with Maple software.