Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
We discuss the possibility of using the intersection points of the common level surface of integrals of motion with an auxiliary curve to construct finite-difference equations corresponding to different discretizations of the original integrable system. As an example, we consider the generalized one-dimensional oscillator with third- and fifth-degree nonlinearity, for which we show that the intersection divisors of the hyperelliptic curve with straight lines, quadrics, and cubics generate families of integrable discrete maps.
Язык оригинала | английский |
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Страницы (с-по) | 1806-1822 |
Число страниц | 17 |
Журнал | Theoretical and Mathematical Physics(Russian Federation) |
Том | 197 |
Номер выпуска | 3 |
DOI | |
Состояние | Опубликовано - 1 дек 2018 |
ID: 37502098