From the 1 of 4 linked papers with an AI index.
4 papers
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
The authors design self‑adaptive moving‑mesh schemes that retain integrability for multi‑component short‑pulse and modified short‑pulse equations with nonzero boundary values, and…
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, which is obtained as the short-wave limit of the two-component Camas…
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…