Discrete Reductive Perturbation Technique
Levi, Decio ; Petrera, Matteo
arXiv, 0510084 / Harvested from arXiv
Text on arXiv
We expand a partial difference equation (P$\Delta$E) on multiple lattices and obtain the P$\Delta$E which governs its far field behaviour. The perturbative--reductive approach is here performed on well known nonlinear P$\Delta$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$\Delta$Es of the nonlinear Schr\"odinger (NLS) type.
Publié le : 2005-10-25
Classification:  Mathematical Physics 
@article{0510084,
     author = {Levi, Decio and Petrera, Matteo},
     title = {Discrete Reductive Perturbation Technique},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510084}
}

Levi, Decio; Petrera, Matteo. Discrete Reductive Perturbation Technique. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510084/