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Lie equations for asymptotic solutions of perturbation problems of ordinary di ff erential equations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Chiba, Hayato Iwasa, Masatomo |
| Copyright Year | 2009 |
| Abstract | Lie theory is applied to perturbation problems of ordinary differential equations to construct approximate solutions and invariant manifolds according to Iwasa and Nozaki’s RG approach [Iwasa, Nozaki, Progr. Theoret. Phys. 116 (2006)]. It is proved that asymptotic behavior of solutions are obtained from the Lie equations even if original equations have no symmetries. Normal forms of the Lie equations are introduced to investigate existence of invariant manifolds. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www2.math.kyushu-u.ac.jp/~chiba/paper/lie_symmetry.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |