Research Projects

This project aims to explore solutions of nonautonomous equations represented by solitons, which are crucial in various fields such as communication systems, fiber optics, hydrodynamics, and neuroscience. The project will focus on analytical methods, specifically (1+1) and (2+1)-dimensional nonlinear Schrödinger equations, which describe physical observables in hydrodynamics and fiber optics. The project will also analyze modulation instability of the solution. The project will involve writing a program using Mathematica and analyzing it using a publicly available package. The goal is to provide a subroutine for solving nonautonomous equations and generate research articles. The project's results will be discussed and utilized by national and international researchers.