Weakly relativistic effect in the formation of ion-acoustic solitary waves in a positive ion-beam plasma
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Bibliographic record
Abstract
Relativistic solitons are investigated in a plasma with positive-ion beams using the Korteweg–de Vries (KdV) equation considering relativistic effects smaller for γ i ≈ O(v 2 /c 2 ) and γ e ≈ O(u 2 /c 2 ), and larger for γ i ≈ O(v 4 /c 4 ) and γ e ≈ O(u 4 /c 4 ), where [Formula: see text] and [Formula: see text] are relativistic factors of positive ions and electrons, respectively. Only compressive solitons of reasonable amplitudes are established subject to a mathematical condition in terms of initial and physical parameters with fourth-order terms in [Formula: see text] and [Formula: see text] for higher order relativistic effects and lower order relativistic effects without fourth-order terms in [Formula: see text] and [Formula: see text] for Q′ < 1 and Q′ > 1. The role of positive ion beams in a plasma with higher and lower order relativistic effects in the formation of relativistic solitons is fully explored in the investigation.
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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 | 0.001 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
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 it