کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139517 956674 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hidden solitons in the Zabusky-Kruskal experiment: Analysis using the periodic, inverse scattering transform
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Hidden solitons in the Zabusky-Kruskal experiment: Analysis using the periodic, inverse scattering transform
چکیده انگلیسی
Recent numerical work on the Zabusky-Kruskal experiment has revealed, amongst other things, the existence of hidden solitons in the wave profile. Here, using Osborne's nonlinear Fourier analysis, which is based on the periodic, inverse scattering transform, the hidden soliton hypothesis is corroborated, and the exact number of solitons, their amplitudes and their reference level is computed. Other “less nonlinear” oscillation modes, which are not solitons, are also found to have nontrivial energy contributions over certain ranges of the dispersion parameter. In addition, the reference level is found to be a non-monotone function of the dispersion parameter. Finally, in the case of large dispersion, we show that the one-term nonlinear Fourier series yields a very accurate approximate solution in terms of Jacobian elliptic functions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 82, Issue 6, February 2012, Pages 1069-1078
نویسندگان
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