Quasisymmetric stellarator magnetic fields are generated by periodic KdV soliton potentials, with B approaching the 1-soliton reflectionless form near the outermost surface.
(B12) The condition H0+q0 = 0 together with the expression of H0 from (B10) yields the TW solution φ = A = A(ξ, Y ) with ξ = x − q0y, Y = ϵy
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Periodic Korteweg-de Vries soliton potentials generate quasisymmetric magnetic fields
Quasisymmetric stellarator magnetic fields are generated by periodic KdV soliton potentials, with B approaching the 1-soliton reflectionless form near the outermost surface.