5 citations · 7 across the 4 of their papers we have counts for
4 papers
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…
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…
Integrable delay-difference and delay-differential analogues of the KdV, Boussinesq, and KP equations
Kenta Nakata
Delay-difference and delay-differential analogues of the KdV and Boussinesq (BSQ) equations are presented. Each of them has the N-soliton solution and reduces to an already known s…
A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations
Kenta Nakata, Ken-ichi Maruno
We propose a systematic method for constructing integrable delay-difference and delay-differential analogues of known soliton equations such as the Lotka-Volterra, Toda lattice, an…