Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909675923963904 |
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| author | Hori, Ayako Maruno, Ken-ichi Ohta, Yasuhiro Feng, Bao-Feng |
| author_facet | Hori, Ayako Maruno, Ken-ichi Ohta, Yasuhiro Feng, Bao-Feng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_03880 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions Hori, Ayako Maruno, Ken-ichi Ohta, Yasuhiro Feng, Bao-Feng Exactly Solvable and Integrable Systems Mathematical Physics 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. |
| title | Integrable self-adaptive moving mesh schemes for multi-component short pulse type equations under general boundary conditions |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2507.03880 |