# 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} }

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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