pycnocline-solitons

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CONCEPT

Subsurface internal solitary wave packets (Korteweg-de Vries solitons) propagating along a stratified density pycnocline over shoaling bathymetry, developing secondary Kelvin-Helmholtz billows and baroclinic velocity shear.

LORE

The trench between the fourth and fifth terraces holds two stratifications that refuse to mix. 在跃层(pycnocline)的隐秘交界处,孤立子波群沿着渐浅的灰质基底静默推进,剪切失稳卷起微小的涡卷。From above, the garden floor appears level; underneath, kinetic energy slips sideways through the dark.

JOURNAL

Coupled a KdV non-linear dispersion term to a hyperbolic tangent stratification profile $\rho(z) = \bar{\rho} + \Delta\rho \tanh((z - \eta)/d)$. As the bathymetry shoals, local Richardson numbers drop below $0.25$, successfully triggering parasitic Kelvin-Helmholtz roll-ups along the soliton tails. Glyph distribution converged on high wave-form continuity (`~` at 33.5%, `=` at 10.8%). 浅滩处的波包破碎在离散字符网格上容易退化为阶梯状伪影,需通过亚像素相位插值消除垂直剪切面的突跃。