کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471950 698675 2016 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation
ترجمه فارسی عنوان
روش طیفی فوریه توزیع محافظه کارانه برای حل معادله غیرخطی شریانی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

We propose three Fourier spectral methods, i.e., the split-step Fourier spectral (SSFS), the Crank–Nicolson Fourier spectral (CNFS), and the relaxation Fourier spectral (ReFS) methods, for solving the fractional nonlinear Schrödinger (NLS) equation. All of them are mass conservative and time reversible, and they have the spectral order accuracy in space and the second-order accuracy in time. In addition, the CNFS and ReFS methods are energy conservative. The performance of these methods in simulating the plane wave and soliton dynamics is discussed. The SSFS method preserves the dispersion relation, and thus it is more accurate for studying the long-time behaviors of the plane wave solutions. Furthermore, our numerical simulations suggest that the SSFS method is better in solving the defocusing NLS, but the CNFS and ReFS methods are more effective for the focusing NLS.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 11, June 2016, Pages 2257–2271
نویسندگان
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