Ultrashort optical pulses with nonlinear chirps in non-Kerr media exhibiting higher-order nonlinearities

E Kengne - Optical and Quantum Electronics, 2023 - Springer
We consider a higher-order nonlinear Schrödinger equation that models the evolution of
ultrashort optical pulses in nonlinear media exhibiting nonlinearities up to the ninth order …

Analytical soliton solutions for the beta fractional derivative Gross–Pitaevskii system with linear magnetic and time dependent laser interactions

H Yépez-Martínez, RT Alqahtani - Physica Scripta, 2024 - iopscience.iop.org
The local conformable beta Atangana derivative will be considered for the introduction of the
fractional Gross–Pitaevskii model with conformable derivatives of beta type. Analytical …

CMMSE: analysis and comparison of some numerical methods to solve a nonlinear fractional Gross–Pitaevskii system

A Serna-Reyes, JE Macías-Díaz, A Gallegos… - Journal of Mathematical …, 2022 - Springer
In this work, we introduce and theoretically analyze various computational techniques to
approximate the solutions of solve a fractional extension of a double condensate system …

Analysis of a scheme which preserves the dissipation and positivity of Gibbs' energy for a nonlinear parabolic equation with variable diffusion

AJ Serna-Reyes, JE Macías-Díaz… - Applied Numerical …, 2023 - Elsevier
In this work, we design and analyze a discrete model to approximate the solutions of a
parabolic partial differential equation in multiple dimensions. The mathematical model …