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| Filter | Status | Condition | Details |
|---|---|---|---|
| HTTP status | PASS | download_http_code = 200 | HTTP 200 |
| Age cutoff | PASS | download_stamp > now() - 6 MONTH | 0.3 months ago |
| History drop | PASS | isNull(history_drop_reason) | No drop reason |
| Spam/ban | PASS | fh_dont_index != 1 AND ml_spam_score = 0 | ml_spam_score=0 |
| Canonical | PASS | meta_canonical IS NULL OR = '' OR = src_unparsed | Not set |
| Property | Value | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| URL | https://www.mdpi.com/2075-1680/15/3/230 | |||||||||
| Last Crawled | 2026-05-25 20:25:01 (8 days ago) | |||||||||
| First Indexed | 2026-03-20 18:01:02 (2 months ago) | |||||||||
| HTTP Status Code | 200 | |||||||||
| Content | ||||||||||
| Meta Title | Well-Posedness of the Nonhomogeneous Initial-Boundary Value Problem for the Coupled Hirota Equation | |||||||||
| Meta Description | In this work, we address the nonhomogeneous initial-boundary value problem for the coupled Hirota equation posed on the finite interval [0,L]. To investigate the well-posedness of this problem, we first adopt an appropriate transformation, namely the Laplace transform, which is tailored to the specific characteristics of the problem, and further obtain an explicit solution formula for the linear inhomogeneous coupled system. Subsequently, the local well-posedness of the original nonhomogeneous initial-boundary value problem in Xs,T×Xs,TXs,T=C(0,T;Hs(0,1))∩L2(0,T;Hs+1(0,1)) is rigorously established through the combination of this explicit formula, the contraction mapping principle and energy estimates. | |||||||||
| Meta Canonical | null | |||||||||
| Boilerpipe Text | heavy column, fetched on demand | |||||||||
| Markdown | heavy column, fetched on demand | |||||||||
| Readable Markdown | heavy column, fetched on demand | |||||||||
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| ML Categories |
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| Content Metadata | ||||||||||
| Language | en | |||||||||
| Author | null | |||||||||
| Publish Time | not set | |||||||||
| Original Publish Time | 2026-03-20 18:01:02 (2 months ago) | |||||||||
| Republished | No | |||||||||
| Word Count (Total) | 22,056 | |||||||||
| Word Count (Content) | 16,053 | |||||||||
| Links | ||||||||||
| External Links | 118 | |||||||||
| Internal Links | 73 | |||||||||
| Technical SEO | ||||||||||
| Meta Nofollow | No | |||||||||
| Meta Noarchive | No | |||||||||
| JS Rendered | Yes | |||||||||
| Redirect Target | null | |||||||||
| Performance | ||||||||||
| Download Time (ms) | 200 | |||||||||
| TTFB (ms) | 177 | |||||||||
| Download Size (bytes) | 100,853 | |||||||||
| Location | ||||||||||
| Host ID | 31 (laksa031) | |||||||||
| Partition ID | 55 | |||||||||
| Root Hash | 11974975279136771031 | |||||||||
| Unparsed URL | com,mdpi!www,/2075-1680/15/3/230 s443 | |||||||||