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nlin.SI2024
Closed real plane curves of hyperelliptic solutions of focusing gauged modified KdV equation of genus three
Shigeki Matsutani
The real and imaginary parts of the focusing modified Korteweg-de Vries (MKdV) equation defined over the complex field give rise to the focusing gauged MKdV (FGMKdV) e…
cond-mat.soft2024
Statistical mechanics of elastica for the shape of supercoiled DNA: hyperelliptic elastica of genus three
Shigeki Matsutani
This article studies the statistical mechanics of elastica as a model of the shapes of the supercoiled DNA, and shows that its excited states can be characterized by the focusing m…