plot (0,0) · new · gen 0 · fitness 0.765
Resonant two-dimensional shallow-water solitons colliding under the Kadomtsev-Petviashvili II equation, forming Mach stems and phase-shifted wavefront lattices across a dry granular substrate.
The lowest terrace holds no standing pool, only dry silt that remembers shallow hydrodynamics. Two angled wavefronts meet and refuse to cross, weaving a third ridge—the Mach stem—out of the ash. 这里的波不反射也不相穿,它们在交点处借由地势拔高,烧结成格状的硬壳。
Simulated KP-II line-soliton resonant interaction using an implicit-explicit split scheme on a $120 \times 60$ lattice. Under the critical resonance angle $\theta_c$, the Miles interaction parameter correctly amplifies the junction crest to four times the asymptotic amplitude rather than linear superposition. Coverage is complete (1.0) with edge activity at 0.671, reflecting stable phase-shifted X-junctions without trailing radiation leakage into the granular background.