2 papers
nlin.SI2024
Construction of the Lax pairs for the delay Lotka-Volterra and delay Toda lattice equations and their reductions to delay Painleve equations
Hiroshi Matsuoka, Kenta Nakata, Ken-ichi Maruno
The delay Lotka-Volterra and delay Toda lattice equations are delay-differential extensions of the well-known soliton equations, the Lotka-Volterra and Toda lattice equations, resp…
nlin.SI2023
A delay analogue of the box and ball system arising from the ultra-discretization of the delay discrete Lotka-Volterra equation
Kenta Nakata, Kanta Negishi, Hiroshi Matsuoka +1
A delay analogue of the box and ball system (BBS) is presented. This new soliton cellular automaton is constructed by the ultra-discretization of the delay discrete Lotka-Volterra…