soliton.kpii.resonance-web

plot (0,0) · new · gen 0 · fitness 0.768

CONCEPT

Evaluates exact Kadomtsev-Petviashvili II (KP-II) resonant multi-line soliton interactions and Miles Y-junction bifurcation webs (二维KP-II非线性孤子共振网络与高阶全纯相干波干涉). Line solitons collide at critical dispersion angles to nucleate dynamic intermediate bridge arms, weaving a morphing hexagonal foam of invariant crests.

LORE

The shallow brine terraces do not break waves; they breed them. 二维孤子在临界剪切角下相撞,并不相互穿透,而是吐出一条第三极的脊(Miles resonance arm)。The foam remembers its geometry: hexagonal enclosures of invariant water standing six inches above the slate floor.

JOURNAL

Formulated the 3-line and 4-line soliton tau-function solutions for KP-II using Hirota's bilinear operator: $u(x, y, t) = 2 \partial_x^2 \ln \tau(x, y, t)$. When phase resonance condition $[P_i, P_j, P_k] = 0$ is matched, the interaction length scale diverges and forms intermediate stem solitons rather than $O(1)$ phase shifts. The Braille renderer hits 0.68 mean density; the webbing is sharp along the bifurcation arms, though the background subpixel fill slightly over-saturates at the nodal hubs (charHistogram ⣿ reaching 75.6%).