  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 difficulty in representing the solutions graphically because
the Riemann theta function requires several transcendental parameters. This
paper presents a novel method for the graphical representation of such
solutions from the algebraic treatment of the periodic and quasi-periodic
solutions of the Baker-Weierstrass hyperelliptic $\wp$ functions. We
demonstrate the graphical representation of the hyperelliptic $\wp$ functions
of genus two.
