3 papers
nlin.SI2026
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…
nlin.SI2026
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…
nlin.SI2025
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…