We discuss a combined equivalent circuit technique to simulate soliton generation and propagation at the same time. In the circuit, a nonlinear soliton generation section and a linear propagation section are connected using an ideal impedance matching transformer. When the input pulse is introduced in the nonlinear section, a soliton is formed if a proper length is chosen. After the formation of the soliton in the nonlinear section, it propagates in the linear propagation section since the power level is greatly reduced. The simulation results show very good agreement with observed soliton behavior. Finally, the simulation results and the related experimental results are compared and discussed in detail. This analysis is very important for the future design of potential nonlinear signal processing magnetostatic wave devices.