The lattice Schwarzian KdV equation and its symmetries

2007/01/15 by D. Levi, Decio Levi, Matteo Petrera +1 · 3 citations
Mathematics · Physics and Astronomy · #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP

paper · pdf · doi:10.1088/1751-8113/40/42/s18

11 pages, no figures. Submitted to Jour. Phys. A, Special Issue SIDE VII

arxiv created 2007/01/15 · openalex publication_date 2007/10/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

In this paper, we present a set of results on the symmetries of the lattice Schwarzian Korteweg–de Vries (lSKdV) equation. We construct the Lie point symmetries and, using its associated spectral problem, an infinite sequence of generalized symmetries and master symmetries. We finally show that we can use master symmetries of the lSKdV equation to construct non-autonomous non-integrable generalized symmetries.

Citations

• Lectures on Functional Equations and their Applications.

Cited by

• On Miura Transformations and Volterra-Type Equations Associated with the Adler-Bobenko-Suris Equations
• Peculiar symmetry structure of some known discrete nonautonomous equations
• Integrable Möbius-invariant evolutionary lattices of second order