Soliton dynamics and travelling wave solutions for high-order nonlinear Schrödinger equation in birefringent fibers using improved modified extended tanh function method

One of the natural consequences of soliton propagation is a birefringence phenomenon occurring due to bending, twisting or rough handling of fibres, which produce a bit of detrimental effect. In this research, we find optical soliton solutions and other exact solutions for the high-order coupled nonlinear Schrödinger system which describe the transmission of solitons in birefringent fibers. The study is conducted with the aid of the improved modified extended tanh function method. A variety of distinct traveling wave solutions are furnished. The obtained solutions include dark solitons, bright solitons, and singular solitons. Additionally, hyperbolic solutions, periodic solutions, singular periodic solutions, rational solutions, exponential solutions, Jacobi elliptic function solutions and Weierstrass elliptic doubly periodic type solutions are also offered. To help readers physically grasp the acquired solutions, graphical representations of some of the extracted solutions are provided.