# A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations

@article{Nakata2022ASC,
title={A systematic construction of integrable delay-difference and delay-differential analogues of soliton equations},
author={Kenta Nakata and Ken-ichi Maruno},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2022},
volume={55}
}
• Published 24 January 2022
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
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 (TL), and sine-Gordon equations and their multi-soliton solutions. It is carried out by applying a reduction and delay-differential limit to the discrete KP or discrete two-dimensional TL equations. Each of the delay-difference and delay-differential equations has the N-soliton solution, which depends on the delay…

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