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Data and code for "Radiation-dressed high-order Hirota solitons: spectral-memory shifts and dynamical channel switching"

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Zenodo2026-08-03 更新2026-08-13 收录
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his record provides the data, source code, numerical outputs, and reproducibility materials supporting the manuscript “Radiation-dressed high-order Hirota solitons: spectral-memory shifts and dynamical channel switching.” The associated study develops a spectral-memory framework for high-order solitons of the focusing Hirota equation. Continuous-spectrum radiation acts on the complete norming jet through an explicit invertible lower-triangular Toeplitz transfer. A confluent Darboux construction yields arbitrary-finite-multiplicity reflectionless outer models, while a cone-wise Riemann–Hilbert–∂̄ analysis produces an outer-model-dressed t−1/2t^{-1/2}t−1/2 radiation term with a uniform O(t−3/4)O(t^{-3/4})O(t−3/4) residual away from caustics, pole–stationary-point collisions, and velocity degeneracies. The archive contains the scripts and numerical data used to reproduce: the order-three spectral-memory and Toeplitz-transfer audit; the exact confluent double-pole Hirota field; the full-PDE residual and Fourier–ETDRK4 convergence tests; the comparison between complete dressed jets and zeroth-only jet truncations; localized Bogoliubov–de Gennes spectral calculations; the one-run dispersion-ramp channel-switching experiment; time-step, spatial-grid, domain, and ramp-width robustness checks; finite-time visibility maps, ridge diagnostics, and long-time propagation benchmarks. The principal archived benchmarks include a maximum exact double-pole PDE residual below 2.0×10−112.0\times10^{-11}2.0×10−11, a 4.4816% relative L2L^2L2 discrepancy after optimal translation and phase alignment when the first higher jet coefficient is removed, and a tracked switching threshold within 5.7×10−55.7\times10^{-5}5.7×10−5 of the analytical value β12∗=0.43123\beta_{12}^{*}=0.43123β12∗=0.43123 under numerical and protocol refinements. The repository includes Python scripts, CSV/JSON/NPZ outputs, environment and dependency specifications, a run manifest, citation metadata, manuscript-to-data alignment documentation, and SHA256 checksums. The archive is released as version 1.0.0 and is intended to support independent verification and reuse of the numerical results reported in the manuscript.

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Zenodo
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2026-08-03
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