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0401U001068,
к.ф.-м.н.
03-04-2001
o
Classical and Conditional Symmetry of Nonlinear wave Equations
Podoshvelev Yurij Georgijovych,
popup.head Сєров Микола Іванович
popup.opponent Клімик Анатолій Ульянович
popup.opponent Цифра Іван Михайлович
Проведена класифікація ряду хвильових рівнянь відносно конформних алгебр. Досліджені їх симетрийні властивості. Ліївська та умовна симетрії використані для знаходження інваріантів конформних алгебр AC(1,1) і AC(2,2). За допомогою інваріантів були побудовані анзаци і проведена редукція цих рівнянь до звичайних диференціальних рівнянь або до диференціальних рівнянь в частинних похідних із меншою кількістю змінних. Знайдені нові класи точних розв'язків деяких рівнянь математичної фізики.
2001-04-03
2020-04-04
Updated: 2025-12-07
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