Discrete Reductive Perturbation Technique
نویسندگان
چکیده
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.
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