Authors: A. N. Njah, and R. Akin-Ojo,
Journal of the Nigerian Association of Mathematical Physics
Abstract
The Nonlinear Schr dinger Equation (NLSE) in units of 
where are real parameters, p is a positive integer and is the eigenvalue (energy) is solved by numerical and perturbation methods in an infinite potential well vis-a-vis the linear Schrodinger (LSE). The eigenvalue for the n eigenvalue in the well is
found for the cases p = 2[4] to be given by where a = 2.46831[2.46773], b = -0.065982[-0.039568] and c = 1[1] using the numerical method. Using the perturbation method leads to similar results. These results are comparable with those of the LSE: , where k = 2.5. have the effect of increasing the values of the Also as p increases for the NLSE tends to for the LSE. The analysis confirms that the NLSE describes small amplitude waves, which are also self energizing.
