COUPLED NONLINEAR SCHRÖDINGER EQUATIONS FOR SOLITARY-WAVE AND KINK SIGNALS PROPAGATING IN DISCRETE NONLINEAR DISPERSIVE TRANSMISSION LINES
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Bibliographic record
Abstract
A system of coupled nonlinear Schrödinger (CNLS) equations is derived, starting with a model for an electric LC transmission line, in which nonlinear capacitance C is approximated, as a function of voltage V, by a general truncated expansion, C(V) = C 0 (1 - αV + βV 2 + ⋯). Within the framework of the CNLS equations, we obtain exact solutions for solitary-wave and kink-anti-kink complexes, at specific relations between the XPM and SPM coefficients. The modulational stability of uniform states with constant amplitudes in the framework of the pair of CNLS equations is analyzed too.
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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 | 0.000 |
| 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