| Автор | G B Byrnes |
| Автор | R Sahadevan |
| Автор | G R W Quispel |
| Дата выпуска | 1995-05-01 |
| dc.description | We show that an autonomous difference equation, of arbitrary order and with one or more independent variables, can be linearized by a point transformation if and only if it admits a symmetry vector field whose coefficient function is the product of two functions, one of the dependent variable u and one of the independent variables x: X(x, u)=A(x)G(u) partial/partial u . The factor depending on the independent variables, A, is required to satisfy some non-degeneracy conditions. This result is derived using a discrete jet space formalism for partial and ordinary difference equations, analogous to that used for the study of differential equations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Factorizable Lie symmetries and the linearization of difference equations |
| Тип | paper |
| DOI | 10.1088/0951-7715/8/3/009 |
| Electronic ISSN | 1361-6544 |
| Print ISSN | 0951-7715 |
| Журнал | Nonlinearity |
| Том | 8 |
| Первая страница | 443 |
| Последняя страница | 459 |
| Аффилиация | G B Byrnes; Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia |
| Аффилиация | R Sahadevan; Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia |
| Аффилиация | G R W Quispel; Dept. of Math., La Trobe Univ., Bundoora, Vic., Australia |
| Выпуск | 3 |
