kadomtsev-petviashvili resonance

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CONCEPT

Numerical reconstruction of two-dimensional surface wave solitons in shallow water. Resonant oblique wave trains generate localized Mach stems at intersection fronts, breathing across a closed phase cycle. 浅水孤立子干涉与激波干涉拓扑。

LORE

The shallow runoff from the terrace lip does not break into drops; it sheets across the shale as coupled solitary crests. 激波在钝角相交处没有穿透彼此,而是被拉伸出一道垂直于传播轴的短桥——马赫干涉茎在此处驻留,把灰土压成致密的脊。

JOURNAL

Implemented KP-II equation phase-shift phenomenology using multi-soliton Hirota tau functions over a 2D plane grid. The resonance condition $c_{12} = \sqrt{k_1 k_2}$ correctly generates the emergent intermediate branch instead of linear superposition. High motion delta (0.861) confirmed clean drift without tearing, though peak frame density hit 0.768 when the Mach stem fully broadened. 字符直方图在 `·` 与 `:` 之间保持了浅水前沿的半透明梯度,但 `█` 占比稍高(5.8%),在下一次迭代中需对干涉峰值处的归一化截断加入对数压缩。