Integrability and asymptotic behaviour of a differential-difference matrix equation
(2020)
Journal Article
Gordoa, P. R., Pickering, A., & Wattis, J. A. (2021). Integrability and asymptotic behaviour of a differential-difference matrix equation. Physica D: Nonlinear Phenomena, 415, Article 132754. https://doi.org/10.1016/j.physd.2020.132754
In this paper we consider the matrix lattice equation U_{n,t} (U_{n+1} − U_{n−1} ) = g(n)I, in both its autonomous (g(n) = 2) and nonautonomous (g(n) = 2n − 1) forms. We show that each of these two matrix lattice equations are integrable. In addition... Read More about Integrability and asymptotic behaviour of a differential-difference matrix equation.