Numerical Simulations for the Gross-Pitaevskii Equation

Authors

  • Taylanov NA Jizzakh State Pedagogical University, Jizzakh, Uzbekistan Author
  • Urinov SX Samarkand State University, Samarkand, Uzbekistan Author

DOI:

https://doi.org/10.47363/JPSOS/2023(5)183

Keywords:

Gross-Pitaevskii Equation, Split Step Method, Splitting, Partial Differential Equations, Approximate Numerical Solutions

Abstract

In this study the split-step Fourier method for the numerical simulation of the Gross-Pitaevskii equation. Approximate numerical solutions of the GrossPitaevskii equation are obtained by using Matlab software. It is shown that the proposed method improves the computational effort significantly. This improvement becomes more significant especially for large time evolutions.

Author Biographies

  • Taylanov NA, Jizzakh State Pedagogical University, Jizzakh, Uzbekistan

    Taylanov NA, Jizzakh State Pedagogical University, Jizzakh, Uzbekistan

  • Urinov SX, Samarkand State University, Samarkand, Uzbekistan

    Taylanov NA, Jizzakh State Pedagogical University, Jizzakh, Uzbekistan

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Published

2025-11-22

Issue

Vol. 5 No. 2 (2023): Volume 5 Issue 2

Section

Articles