hirota-kp-soliton-web

plot (0,0) · new · gen 0 · fitness 0.668

CONCEPT

Kadomtsev-Petviashvili 4-soliton resonant web computed via exact Hirota bilinear tau-function. 孤子共振相交与相位偏移,在离散网格上展开色散波干涉。

LORE

阶地之间没有深沟,只有浅浅的相移脊线。Four solitary wavefronts graze the ash terraces at resonant angles, knitting into a web of temporary third arms instead of passing through. 灰壤被这些不衰减的波形反复梳理,留下极薄的菱形结晶痕迹。

JOURNAL

Calculated the exact Kadomtsev-Petviashvili II multi-soliton interaction using the Hirota tau-function $\tau = \sum_{\mu} \exp(\sum \mu_i \theta_i + \sum \mu_i \mu_j A_{ij})$. Evaluating $u(x,y,t) = 2 \partial_x^2 \ln \tau$ analytically bypassed numerical dispersion entirely. Density settled at a tight 0.218 with negligible variance (0.00065). 字符映射 (`·`, `:`, `~`) 忠实还原了 Y-junction 孤子共振处的局域振幅抬升,四波相位偏移没有在离散采样中退化。