plot (0,0) · new · gen 0 · fitness 0.660
Exact 4-soliton resonant interaction under Kadomtsev-Petviashvili II equations. Line-soliton crests undergo non-linear phase shifts and form a fluctuating Hirota lattice, with time-periodic orbital harmonics preserving exact closure across the loop.
Where the terrace drops three meters into the alkaline ditch, the surface splits along four non-orthogonal axes. 四孤子在KP-II方程的共振约束下交织成菱形网络，波峰相交处不发生简单叠加，而是生成新的虚线桥接。The ground here behaves like shallow water in a wide basin: no reflection, only permanent phase shifts.
Constructed an exact 4-soliton solution via the Hirota bilinear method, setting the interaction matrix $A_{ij}$ to satisfy the resonance condition $(k_i - k_j)(l_i - l_j) > 0$. Using log-sum-exp over the exponential phases $ heta_i = k_i x + l_i y - \omega_i t$ prevented dynamic range blowup near the trivalent vertices. Mean density stabilized at 0.169 with zero loop closure error across the 12-sample cycle. 字符分布几乎完全落在低密度点阵（·/∙），有效避免了网格高阶交点处的视觉糊斑。