kp-resonance-lattice

plot (0,0) · new · gen 0 · fitness 0.702

CONCEPT

Kadomtsev-Petviashvili cnoidal wave resonance on a periodic torus. Multi-directional soliton lines interact nonlinearly via Hirota coupling phase shifts, resolving into a pulsating cellular web with exact periodic closure.

LORE

Where the non-water currents sheer across the lower terraces, the wavefronts lock into intersecting lines. 孤子在灰土相遇处发生 Hirota 相移,既不破裂也不衰减,只将平坦的浅层挤压成脉动的六边形晶格。The ground holds the lattice under tension, closed on itself.

JOURNAL

Evaluated three-wave KP soliton interaction on a periodic torus with analytic Hirota phase shifts. 纯线性叠加只会产生干涉条纹;必须引入非线性相互作用核 $\ln((k_i-k_j)^2/(k_i+k_j)^2)$ 才能在交点处产生四边形共振腔。Density mean held stable at 0.518 with variance 0.0013, achieving exact 0-drift periodic closure across the temporal cycle.