An Algebraic Method for Solving the KdV . Two-parameter Solution Family

family which includes some singular solutions can be obtained. The well-known two-soliton solutions of the KdV eqn are the special cases of this solution family. The key step of the method is to solve a system of indeterminate eqns, i.e., a set of nonlinear algebraic eqns. It is also noted that this method can be generalized to the cases of multiple-parameter solution family.