Works

Keywords

Soliton equations, Integrable systems, Discrete integrable systems, Delay integrable systems

Papers and Preprints

• Matsuoka H, Nakata K and Maruno K (2025)
  Construction of the Lax pairs for the delay Lotka-Volterra and delay Toda lattice equations and their reductions to delay Painleve equations
  Nonlinearity 38 085013
  arXiv:2402.02204
  
  

• Nakata K, Negishi K, Matsuoka H and Maruno K (2024)
  A delay analogue of the box and ball system arising from the ultra-discretization of the delay discrete Lotka–Volterra equation
  Journal of Physics A: Mathematical and Theoretical 57 145701
  arXiv:2309.00897
  
  

• Nakata K (2022)

Integrable delay-difference and delay-differential analogues of the KdV, Boussinesq, and KP equations

Journal of Mathematical Physics 63 113505

arXiv:2210.09687

(This paper was selected as an Editor's Pick.)

• Nakata K and Maruno K (2022)

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

Journal of Physics A: Mathematical and Theoretical 55 335201

arXiv:2201.09474

• Tsunematsu A, Nakata K, Tanaka Y and Maruno K (2022)

Delay reductions of the two-dimensional Toda lattice equation

arXiv:2201.09473