Solutions like excitations in the one-dimensional electrical transmission line
Dynamics of modulated waves are studied in the one-dimensional discrete nonlinear electrical transmission line. Contribution of the linear dispersive capacitance is appreciated and it is shown via a reductive perturbation method that evolution of such waves in this system is governed by a higher or...
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| Дата: | 2005 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2005
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| Назва видання: | Нелінійні коливання |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/178020 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Solutions like excitations in the one-dimensional electrical transmission line / F.B. Pelap, M.M. Faye // Нелінійні коливання. — 2005. — Т. 8, № 4. — С. 516-528. — Бібліогр.: 24 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-178020 |
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dspace |
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irk-123456789-1780202021-02-18T01:27:25Z Solutions like excitations in the one-dimensional electrical transmission line Pelap, F.B. Faye, M.M. Dynamics of modulated waves are studied in the one-dimensional discrete nonlinear electrical transmission line. Contribution of the linear dispersive capacitance is appreciated and it is shown via a reductive perturbation method that evolution of such waves in this system is governed by a higher order nonlinear Schrodinger equation. Passing through the Stokes analysis, a generalized criterion for the Benjamin ¨ – Feir instability in the network is established and the exact solutions of the obtained wave equation are determined by the means of the Pathria and Morris’s approach. Вивчається динамiка модульованої хвилi в одновимiрнiй дискретнiй нелiнiйнiй лiнiї електропередач. Враховано внесок лiнiйної дисперсiйної ємностi та показано за допомогою методу редуктивного збурення, що еволюцiя таких хвиль у системi описується нелiнiйним рiвнянням Шрьодiнгера вищого порядку. За допомогою методу Стокса встановлено узагальнений критерiй нестiйкостi за Бенджамiном– Фейрi у мережi i знайдено точнi розв’язки хвильового рiвняння за методом Патрiа та Моррiса. 2005 Article Solutions like excitations in the one-dimensional electrical transmission line / F.B. Pelap, M.M. Faye // Нелінійні коливання. — 2005. — Т. 8, № 4. — С. 516-528. — Бібліогр.: 24 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/178020 517.9 en Нелінійні коливання Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Dynamics of modulated waves are studied in the one-dimensional discrete nonlinear electrical transmission line. Contribution of the linear dispersive capacitance is appreciated and it is shown via a reductive
perturbation method that evolution of such waves in this system is governed by a higher order nonlinear
Schrodinger equation. Passing through the Stokes analysis, a generalized criterion for the Benjamin ¨ – Feir
instability in the network is established and the exact solutions of the obtained wave equation are determined by the means of the Pathria and Morris’s approach. |
| format |
Article |
| author |
Pelap, F.B. Faye, M.M. |
| spellingShingle |
Pelap, F.B. Faye, M.M. Solutions like excitations in the one-dimensional electrical transmission line Нелінійні коливання |
| author_facet |
Pelap, F.B. Faye, M.M. |
| author_sort |
Pelap, F.B. |
| title |
Solutions like excitations in the one-dimensional electrical transmission line |
| title_short |
Solutions like excitations in the one-dimensional electrical transmission line |
| title_full |
Solutions like excitations in the one-dimensional electrical transmission line |
| title_fullStr |
Solutions like excitations in the one-dimensional electrical transmission line |
| title_full_unstemmed |
Solutions like excitations in the one-dimensional electrical transmission line |
| title_sort |
solutions like excitations in the one-dimensional electrical transmission line |
| publisher |
Інститут математики НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/178020 |
| citation_txt |
Solutions like excitations in the one-dimensional electrical transmission line / F.B. Pelap, M.M. Faye // Нелінійні коливання. — 2005. — Т. 8, № 4. — С. 516-528. — Бібліогр.: 24 назв. — англ. |
| series |
Нелінійні коливання |
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AT pelapfb solutionslikeexcitationsintheonedimensionalelectricaltransmissionline AT fayemm solutionslikeexcitationsintheonedimensionalelectricaltransmissionline |
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2023-10-18T22:45:01Z |
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2023-10-18T22:45:01Z |
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1796156334634172416 |