6 papers
Geometric, algebraic and analytic properties of function for hyperelliptic curves of genus
Shigeki Matsutani
In this paper, we investigate the geometric, algebraic and analytic properties of the hyperelliptic functions of a hyperelliptic curve with genus as the…
Closed real plane curves of hyperelliptic solutions of focusing gauged modified KdV equation of genus
Shigeki Matsutani
The real part of the focusing modified Korteweg-de Vries (MKdV) equation defined over the complex field is reduced to the focusing gauged MKdV (FGMKdV) equation. In th…
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…
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…
A graphical representation of hyperelliptic KdV solutions
Shigeki Matsutani
The periodic and quasi-periodic solutions of the integrable system have been studied for four decades based on the Riemann theta functions. However, there is a fundamental difficul…
On real hyperelliptic solutions of focusing modified KdV equation
Shigeki Matsutani
We study the real hyperelliptic solutions of the focusing modified KdV (MKdV) equation of the genus three. Since the complex hyperelliptic solutions of the focusing MKdV equation o…