98 citations · 777 across the 45 of their papers we have counts for
46 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 self-adaptive moving mesh schemes for multi-component short pulse type equations with nonzero boundary values
Ayako Hori, Ken-ichi Maruno, Yasuhiro Ohta +1
In this paper, we construct integrable self-adaptive moving mesh schemes for multi-component modified short pulse and short pulse equations with nonzero boundary values by using th…
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…
Connection between the symmetric discrete AKP system and bilinear ABS lattice equations
Jing Wang, Da-jun Zhang, Ken-ichi Maruno
In this paper, we show that all the bilinear Adler-Bobenko-Suris (ABS) equations (except Q2 and Q4) can be obtained from symmetric discrete AKP system by taking proper reductions a…
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…