Open AccessSolving Generalized Nonlinear Schrödinger Equation by Adomian Decomposition Technique
Author(s) -
Gaston Edah,
Villévo Adanhoumè,
Marc Amour Ayela
Publication year - 2021
Publication title -
physical science international journal
Language(s) - English
Resource type - Journals
ISSN - 2348-0130
DOI - 10.9734/psij/2021/v25i930282
Subject(s) - adomian decomposition method , nonlinear system , mathematical analysis , variable coefficient , mathematics , decomposition , variable (mathematics) , decomposition method (queueing theory) , pulse (music) , physics , partial differential equation , optics , quantum mechanics , statistics , detector , ecology , biology
In this paper, using a suitable change of variable and applying the Adomian decomposition method to the generalized nonlinear Schr¨odinger equation, we obtain the analytical solution, taking into account the parameters such as the self-steepening factor, the second-order dispersive parameter, the third-order dispersive parameter and the nonlinear Kerr effect coefficient, for pulses that contain just a few optical cycle. The analytical solutions are plotted. Under influence of these effects, pulse did not maintain its initial shape.