Analysis of Non-Linear Wave Processes Using Wigner Transform
The Wigner transform is proposed to use in the analysis of non-linear wave processes and signals. The ideal and natural shock waves, the kink and the antikink, the shock wave propagating in a dispersive medium, the classical soliton, the soliton-like solution of the modified Korteveg-de Vries equati...
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| Дата: | 2013 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | rus |
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Видавничий дім «Академперіодика»
2013
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| Онлайн доступ: | http://rpra-journal.org.ua/index.php/ra/article/view/593 |
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| Назва журналу: | Radio physics and radio astronomy |
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Radio physics and radio astronomy| id |
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oai:ri.kharkov.ua:article-5932013-01-29T01:59:18Z Analysis of Non-Linear Wave Processes Using Wigner Transform Анализ нелинейных волновых процессов при помощи преобразования Вигнера Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. The Wigner transform is proposed to use in the analysis of non-linear wave processes and signals. The ideal and natural shock waves, the kink and the antikink, the shock wave propagating in a dispersive medium, the classical soliton, the soliton-like solution of the modified Korteveg-de Vries equation, the soliton of envelope, the cnoidal and sowtooth waves are analyzed analytically and numerically. The Wigner analysis results are compared with those of the Fourier analysis. The Wigner transform and Fourier spectrogram are recommended to use simultaneously in the analysis of non-linear wave processes and signals. A special data format developed is recommended for the researchers. Предложено использовать преобразование Вигнера для анализа нелинейных волновых процессов и сигналов. Аналитическими и численными методами проведен анализ идеальной и реальной ударных волн, кинка и антикинка, ударной волны в диспергирующей среде, классического солитона, солитоноподобного решения модифицированного уравнения Кортевега-де Вриза, солитона огибающей, кноидальной и пилообразной волн. Результаты вигнер-анализа сравнены с результатами фурье-анализа. Рекомендовано совместное применение преобразования Вигнера и спектрограммы Фурье для анализа нелинейных волновых процессов и сигналов. Разработан и рекомендован исследователям специальный формат представления данных. Видавничий дім «Академперіодика» 2013-01-29 Article Article application/pdf http://rpra-journal.org.ua/index.php/ra/article/view/593 РАДИОФИЗИКА И РАДИОАСТРОНОМИЯ; Vol 12, No 3 (2007); 295 RADIO PHYSICS AND RADIO ASTRONOMY; Vol 12, No 3 (2007); 295 РАДІОФІЗИКА І РАДІОАСТРОНОМІЯ; Vol 12, No 3 (2007); 295 2415-7007 1027-9636 rus http://rpra-journal.org.ua/index.php/ra/article/view/593/162 |
| institution |
Radio physics and radio astronomy |
| collection |
OJS |
| language |
rus |
| format |
Article |
| author |
Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. |
| spellingShingle |
Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. Analysis of Non-Linear Wave Processes Using Wigner Transform |
| author_facet |
Vishnivetsky, O. V. Lazorenko, O. V. Chernogor, L. F. |
| author_sort |
Vishnivetsky, O. V. |
| title |
Analysis of Non-Linear Wave Processes Using Wigner Transform |
| title_short |
Analysis of Non-Linear Wave Processes Using Wigner Transform |
| title_full |
Analysis of Non-Linear Wave Processes Using Wigner Transform |
| title_fullStr |
Analysis of Non-Linear Wave Processes Using Wigner Transform |
| title_full_unstemmed |
Analysis of Non-Linear Wave Processes Using Wigner Transform |
| title_sort |
analysis of non-linear wave processes using wigner transform |
| title_alt |
Анализ нелинейных волновых процессов при помощи преобразования Вигнера |
| description |
The Wigner transform is proposed to use in the analysis of non-linear wave processes and signals. The ideal and natural shock waves, the kink and the antikink, the shock wave propagating in a dispersive medium, the classical soliton, the soliton-like solution of the modified Korteveg-de Vries equation, the soliton of envelope, the cnoidal and sowtooth waves are analyzed analytically and numerically. The Wigner analysis results are compared with those of the Fourier analysis. The Wigner transform and Fourier spectrogram are recommended to use simultaneously in the analysis of non-linear wave processes and signals. A special data format developed is recommended for the researchers. |
| publisher |
Видавничий дім «Академперіодика» |
| publishDate |
2013 |
| url |
http://rpra-journal.org.ua/index.php/ra/article/view/593 |
| work_keys_str_mv |
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| first_indexed |
2024-05-26T06:32:44Z |
| last_indexed |
2024-05-26T06:32:44Z |
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