Multiscale expansion and integrability properties of the lattice potential KdV equation

2007/09/24 by Rafael Hernández Heredero, Heredero, Rafael Hernandez, D. Levi +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0709.3704

openalex publication_date 2007/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that, like the lowest order secularity conditions give a nonlinear Schroedinger equation, the Lax pair gives at the same order the Zakharov and Shabat spectral problem and the symmetries the hierarchy of point and generalized symmetries of the nonlinear Schroedinger equation.

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