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Autotransforms for Some Differential Equations and Their Physical Applications
Oleg I. Bogoyavlenskij, Yuyang Peng Department of Mathematics and Statistics, Queen’s University,
Kingston, K7L 3N6 ON, Canada
Аннотация:
General constructions of differential equations with autotransforms are presented.
Differential operators connecting a linear case of the Grad – Shafranov equation and the
axisymmetric Helmholtz equation are found. Infinite families of exact solutions to both
equations are derived.
Ключевые слова:
differential operators, Grad – Shafranov equation, force-free plasma equilibria, exact solutions, Helmholtz equation.
Поступила в редакцию: 09.07.2020 Принята в печать: 07.09.2020
Образец цитирования:
Oleg I. Bogoyavlenskij, Yuyang Peng, “Autotransforms for Some Differential Equations and Their Physical Applications”, Regul. Chaotic Dyn., 25:6 (2020), 544–552
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1083 https://www.mathnet.ru/rus/rcd/v25/i6/p544
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Страница аннотации: | 107 | Список литературы: | 35 |
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