TITLE:
Exact Solutions of Forced Schrödinger Equation and How to Choose the External Forces
AUTHORS:
Marcelle Nina Zambo Abou’ou, Jean Roger Bogning
KEYWORDS:
Schrödinger Equation, Solitary Wave, Exact Solutions, External Forces, iB-Functions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.10,
October
29,
2024
ABSTRACT: Schrödinger equations are very common equations in physics and mathematics for nonlinear physics to model the dynamics of wave propagation in waveguides such as power lines, atomic chains, optical fibers, and even in quantum mechanics. But all these equations are most often studied without worrying about what would happen if this equation were maintained, that is to say, had a second member synonymous with an external force. It is true that on a physical level, such equations can be considered as describing the generation of waves on a waveguide using an external force. However, the in-depth analysis of this aspect is not at the center of our reflection in this article, but for us, it is a question of proposing exact solutions to this type of equation and above all proposing the general form of the external force so that the obtaining exact solutions is possible.