We expand a partial difference equation (P Delta E) on multiple lattices and obtain the P Delta E which governs its far field behavior. The perturbative-reductive approach is here performed on well-known nonlinear P Delta Es, both integrable and nonintegrable. We study the cases of the lattice modified Korteweg-de Vries (mKdV) equation, the Hietarinta equation, the lattice Volterra-Kac-Van Moerbeke equation and a nonintegrable lattice KdV equation. Such reductions allow us to obtain many new P Delta Es of the nonlinear Schrodinger type. (c) 2006 American Institute of Physics.
Levi, D., Petrera, M. (2006). Discrete reductive perturbation technique. JOURNAL OF MATHEMATICAL PHYSICS, 47(4) [10.1063/1.2190776].
Discrete reductive perturbation technique
LEVI, Decio;
2006-01-01
Abstract
We expand a partial difference equation (P Delta E) on multiple lattices and obtain the P Delta E which governs its far field behavior. The perturbative-reductive approach is here performed on well-known nonlinear P Delta Es, both integrable and nonintegrable. We study the cases of the lattice modified Korteweg-de Vries (mKdV) equation, the Hietarinta equation, the lattice Volterra-Kac-Van Moerbeke equation and a nonintegrable lattice KdV equation. Such reductions allow us to obtain many new P Delta Es of the nonlinear Schrodinger type. (c) 2006 American Institute of Physics.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
