Solitons of the Nonlinear Self-Dual Network with Saturable Property

抄録

The self-dual network equation with saturable nonlinearity is discussed by the inverse scattering method. Four types of soliton solution with non-zero asymptotic value are obtained. In the continuum limit, the equation is classified into two cases: the Korteweg-de Vries (K-dV) eq. and the mixed type of the K-dV eq. and the modified K-dV eq.