Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4637689 | Journal of Computational and Applied Mathematics | 2017 | 25 Pages |
Abstract
We study error and convergence rate of a fully discrete Fourier-Galerkin scheme to approximate the solutions of a system consisting of two coupled cubic Schrödinger equations with cross modulation, which is a model for the propagation of a nonlinear pulse in a linearly birefringent Kerr optical fiber. We also establish a result on existence and uniqueness of a solution of the corresponding initial value problem.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Luisa Fernanda Vargas, Juan Carlos Muñoz Grajales,