Abstract
The Klein-Gordon equation with a discontinuous field-dependent mass term provides an example of a simple nonlinear classical field theory. This theory is studied to determine if it exhibits a behavior hypothesized in a recently proposed picture of multimeson production. As expected, it turns out that (with a small additional decay term in the equation) the space-time average of the field strength generated by a delta-function source can be made insensitive to the source strength, once it exceeds a certain threshold. When two space-time- separated delta-function sources are present, their independence (or dependence) in producing slow mesons is determined by the ratio of decay time to source separation. If the mass in the region of low field strength is imaginary, then there are stable sourceless ''kink'' solutions in one space dimension. (AIP)
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