Work

Existence of periodic standing wave solutions for a system describing pulse propagation in an optical fiber

Year: 2019

Type: article

Abstract: We establish existence of periodic standing waves for a model to describe the propagation of a light pulse inside an optical fiber taking into account the Kerr effect. To this end, we apply the Lyapunov Center Theorem taking advantage that the corresponding standing wave equations can be rewritten as a Hamiltonian system. Furthermore, some of these solutions are approximated by using a Newton-type iteration, combined with a collocation-spectral strategy to discretize the system of standing wave equations. Our numerical simulations are found to be in accordance with our analytical results.

Source: Revista Colombiana de Matemáticas

DOI: 10.15446/recolma.v53n1.81045

Authors: Felipe Alexander Pipicano, Juan Carlos Muñoz Grajales

Institutions: Universidad del Valle, Universidad del Valle, Universidad del Valle

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Departamento Administrativo de Ciencia, Tecnología e Innovación (COLCIENCIAS), Universidad del Valle

Award: G6500097189