Abstract
Solutions of a nonlinear complex-valued Klein-Gordon equation in one spatial dimension are considered. Localized rotating solutions are examined for finite intervals with periodic boundary conditions. Explicit solutions are given when the nonlinearity is of a simple piecewise-linear form. An example is given where interesting interference effects occur for moving solutions. Half integer values reminiscent of certain quantum-mechanical problems arise in a natural way even though the example is of a purely classical nature.
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