Discrete reductive perturbation technique

Journal Article · Sat Apr 15 00:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2190776· OSTI ID:20768766

Levi, Decio; Petrera, Matteo ^[1]

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1. Dipartimento di Ingegneria Elettronica, Universita degli Studi Roma Tre and Sezione INFN, Roma Tre, Via della Vasca Navale 84, 00146 Rome (Italy)

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 Schroedinger type.

• OSTI ID: 20768766
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 4; Other Information: DOI: 10.1063/1.2190776; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
INTEGRAL CALCULUS
INTEGRAL EQUATIONS
KORTEWEG-DE VRIES EQUATION
NONLINEAR PROBLEMS
PERTURBATION THEORY