Quantum mechanics

Function (biology)

Elliptic rational functions

Pure mathematics

Mathematical physics

Biology

Weierstrass functions

Applied mathematics

Elliptic function

Elliptic curve

Soliton

Rational function

Evolutionary biology

Thermodynamics

Physics

Nonlinear system

Theta function

Mathematics

Quarter period

Work (physics)

Mathematical analysis

Jacobi elliptic functions

Algebra over a field

Journal of Geometry and Physics

In this work, the improved modified extended tanh function method will be applied to study the perturbed Gerdjikov-Ivanov equation (PGI) which describe the dynamics of the soliton in optical fibers. New exact solutions for the PGI equation will be introduced including Weierstrass elliptic, Jacobi elliptic, dark and bright solitons, singular periodic and rational type solutions. Moreover, for the physical illustration of the obtained solutions, 3D and 2D graphs are presented.

Computational extracting solutions for the perturbed Gerdjikov-Ivanov equation by using improved modified extended analytical approach