hodograph transformation 1integrable discretization 1moving mesh methods 1short pulse equation 1soliton solutions 1
From the 1 of 3 linked papers with an AI index.
3 papers
nlin.SI2026
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…
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…
math-ph2025
Pfaffian solution for dark-dark soliton to the coupled complex modified Korteweg-de Vries equation
Chenxi Li, Xiaochuan Liu, Bao-Feng Feng
In this paper, we study coupled complex modified Korteweg-de Vries (ccmKdV) equation by combining the Hirota's method and the Kadomtsev-Petviashvili (KP) reduction method. First, w…