Poles of the density function in nonlinear waves form virtual Dirac monopoles with quantized charges ±3/2 and ±5/2, in contrast to the ±1/2 charges previously associated with simple zeros.
The singularities of the corresponding analytic extensions F1(z) andF 2(z) can then be accurately calculated from these expressions
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Dirac monopole potentials with high charges underlying nonlinear waves
Poles of the density function in nonlinear waves form virtual Dirac monopoles with quantized charges ±3/2 and ±5/2, in contrast to the ±1/2 charges previously associated with simple zeros.