A new method of constructing elliptic finite‐gap solutions of the stationary Korteweg‐de Vries (KdV) hierarchy, based on a theorem due to PICARD , is illustrated in the concrete case of the Lamé‐Ince potentials ‐ s(s + 1) ρ( z ), sε (ρ(.) the elliptic Weierstrass function). Analogous results are derived in the context of the stationary modified Korteweg‐de Vries (mKd V) hierarchy for the first time.
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Gesztesy et al. (1995) studied this question.
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