Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions
Exactly Solvable and Integrable Systems
2025-07-08 v1 Mathematical Physics
math.MP
Abstract
In this paper, we construct integrable self-adaptive moving mesh schemes for multi-component modified short pulse and short pulse equations under general boundary conditions including periodic boundary conditions by using the consistency condition with the hodograph transformation. We also construct multi-soliton solutions expressed by Pfaffian for our self-adaptive moving mesh schemes. Using self-adaptive moving mesh schemes presented in this paper, we perform numerical experiments to evaluate their effectiveness and accuracy as a numerical method.
Cite
@article{arxiv.2507.03880,
title = {Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions},
author = {Ayako Hori and Ken-ichi Maruno and Yasuhiro Ohta and Bao-Feng Feng},
journal= {arXiv preprint arXiv:2507.03880},
year = {2025}
}
Comments
43 pages, 80 figures