This paper applies homotopy perturbation method (HPM) and Some Blaise Abbo (SBA) method to solve the nonlinear Schrödinger equations. To illustrate the capability and reliability of the methods, two examples are considered. The comparison of the results obtained using the two methods reveals that the analytical solutions are similar.

Schrödinger equation, nonlinear problems, homotopy perturbation method, Some Blaise Abbo method.

Received: June 6, 2022; Accepted: July 18, 2022; Published: February 13, 2023

How to cite this article: Joseph Bonazebi Yindoula and Yanick Alain Servais Wellot, Solving nonlinear Schrödinger equation using homotopy perturbation method (HPM) and comparison with the Some Blaise Abbo (SBA) method, Universal Journal of Mathematics and Mathematical Sciences 18(2) (2023), 201-228. http://dx.doi.org/10.17654/2277141723012

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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