Bibliographic record
Abstract
In this paper peakon solitary waves solution of Cammasa-Holm non-linear equation obtained by numerical methods and peaked soliton solution are investigated by examining these waves interaction.The Cammassa-Holm is a non-linear third order equation because its peakon solutions has a discontinuity of derivative at its wave peak and cannot be solved using conventional numerical methods .Finite difference and Spectral methods are used to solve this equation .In finite difference method we used separated forms and upstream and downstream trick.In spectral Fourier method (by Fourier transformation), non-linear equation transform from physical space to Fourier space and in this new space becomes linear and can solve by one of common numerical methods.Eventually by inverse Fourier transformation, solutions transforms to physical space to observed.Soliton , peakon and anti peakon solutions of Cammasa-Holm equation can be illustrated as well by spectral method.
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.995 | 0.973 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; both teacher heads agree on what is shown here.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".