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.
2006
Levi, D., Petrera, M. (2006). Discrete reductive perturbation technique. JOURNAL OF MATHEMATICAL PHYSICS, 47(4) [10.1063/1.2190776].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/155508
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