Radial Streamfunction Profile

Modon interior–exterior matching at the separatrix r = ξ

J₁(pr) — oscillatory interior K₁(qr) — exponential decay r = ξ separatrix

The streamfunction ψ(r) transitions smoothly from oscillatory Bessel J₁ inside the modon core to exponentially decaying K₁ outside. The matching condition at r = ξ fixes the structure constant K = j₁₁² + 1 = 15.67.