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0 51 00 84 v 1 2 5 O ct 2 00 5 Discrete Reductive Perturbation Technique
| Content Provider | Semantic Scholar |
|---|---|
| Author | Levi, Decio Petrera, Matteo |
| Copyright Year | 2007 |
| Abstract | We expand a partial difference equation (P∆E) on multiple lattices and obtain the P∆E which governs its far field behaviour. The perturbative–reductive approach is here performed on well known nonlinear P∆Es, both integrable and non integrable. We study the cases of the lattice modified Korteweg–de Vries (mKdV) equation, the Hietarinta equation, the lattice Volterra–Kac–Van Moerbeke (VKVM) equation and a non integrable lattice KdV equation. Such reductions allow us to obtain many new P∆Es of the nonlinear Schrödinger (NLS) type. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://misgam.sissa.it/papers/files/MIS0095.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
