4 papers
Geometric, algebraic and analytic properties of hyperelliptic function 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…
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…