Physics

Nonlinear system

Pure mathematics

Mathematics

Maxwell's equations

Evolutionary biology

Biology

Operating system

Magnetic field

Optics

Optical field

Mathematical analysis

Function (biology)

Optical fiber

Space (punctuation)

Electromagnetic field

Computer science

Quantum mechanics

Differential equation

Field (mathematics)

Ordinary differential equation

Orthonormal basis

Electric field

Classical mechanics

Soliton

International Journal of Geometric Methods in Modern Physics

In this paper, we relate the evolution equations of the electric field and magnetic field vectors of the polarized light ray traveling in a coiled optical fiber in the ordinary space into the nonlinear Schrödinger’s equation by proposing new kinds of binormal motions and new kinds of Hasimoto functions in addition to commonly known formula of the binormal motion and Hasimoto function. All these operations have been conducted by using the orthonormal frame of Bishop equations that is defined along with the coiled optical fiber. We also propose perturbed solutions of the nonlinear Schrödinger’s evolution equation that governs the propagation of solitons through the electric field [Formula: see text] and magnetic field [Formula: see text] vectors. Finally, we provide some numerical simulations to supplement the analytical outcomes.

Soliton propagation of electromagnetic field vectors of polarized light ray traveling in a coiled optical fiber in the ordinary space