Опубликован 2022-10-30

NUMERICAL SIMULATION OF NONLINEAR SCHRODINGER EQUATION

Аннотация


In this study the split-step Fourier method for the numerical simulation of the nonlinear Schrodinger equation. Approximate numerical solutions of the nonlinear Schrodinger 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. The applied here scheme can be used as an efficient tool in computational mathematics, namely in a class of nonlinear differential equations, which describe the theoretical quantum physics and engineering problems

Как цитировать


Taylanov, N., & Urinov, S. (2022). NUMERICAL SIMULATION OF NONLINEAR SCHRODINGER EQUATION. Физико-технологического образование, (5). извлечено от https://science.jdpu.uz/index.php/phys-tech/article/view/6560

Библиографические ссылки


G.P. Agrawal, Nonlinear Fiber Optics, Academic Press, 2007.

P.M. Lushnikov, Fully parallel algorithm for simulating dispersion-managed wavelength-division-multiplexed optical fiber systems, Opt. Lett. 27 (11) (2002) 939–941.

V.E. Zakharov, Collapse of Langmuir waves, Sov. Phys. JETP 35 (5) (1972) 908–914.

R.H. Hardin, F.D. Tappert, Applications of the split-step Fourier method to the numerical solution of nonlinear and variable coefficient wave equations SIAM Rev. Chron. 15 (1973) 423.

G. Strang, On the construction and comparison of difference schemes, SIAM J. Numer. Anal. 5 (3) (1968) 506–517.

Trefethen, L. N., (2000), Spectral Methods in MATLAB, SIAM, Philadelphia.

Bogomolov, Y. L. and Yunakovsky, A. D., (2006), Split step Fourier method for nonlinear Schrodinger equation, Proceedings of the International Conference Day on Diffraction, pp. 34-42.

Авторы


Nizom Taylanov

Jizzakh State Pedagogical Institute

Sunnatulla Urinov

Ключевые слова:

nonlinear Schrödinger equation (NLSE), the split step method, splitting, nonlinear differential equations
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