2 citations · 3 across the 3 of their papers we have counts for
4 papers
Integrable full discretization of the multi-component short pulse equation
Ayako Hori, Yuta Tanaka, Ken-ichi Maruno +2
We propose a new formulation of the multi-component short pulse (MCSP) equation that includes the coupled complex short pulse (CCSP) equation as a reduction. Using Hirota's bilinea…
An integrable semi-discretization of the two-component Hunter-Saxton equation
Ayako Hori, Yuta Tanaka, Ken-ichi Maruno +1
In this paper, we propose an integrable semi-discretization of the two-component Hunter--Saxton (2-HS) equation, the short-wave limit of the two-component Camassa--Holm (2-CH) equa…
Integrable discretizations of the SIR model
Yuta Tanaka, Ken-ichi Maruno
Structure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models a…
Delay reductions of the two-dimensional Toda lattice equation
Aika Tsunematsu, Kenta Nakata, Yuta Tanaka +1
Integrable delay analogues of the two-dimensional Toda lattice equation are presented and their muti-soliton solutions are constructed by applying the delay reduction to the Gram d…