Abstract: The nonlinear wave equations are a category of nonlinear evolution equations describing mainly the things changing with time and having waved shape. Because most of these equations feature the interruption and chaos of their evolution traces in solution, their dynamics states contain blow-up and chaos in general. The state of a category of nonlinear wave equations with preventable blow-up factor and the blow-up problem of the solutions to these equations are studied. By way of approximation, the conditions of interruption occurrence are given. With the interruptive solutions discussed, the state at their interrupting point is analyzed. The chaos phenomenon is verified at the interrupting point of the interruptive solutions under certain conditions, according to the Li-Yorke theorem.