Abstract
In the example of the nonlinear Klein-Gordon equation, we demonstrate that even-indexed hypergeometric solutions admit matrix representations that can be associated with special unitary groups. For the index 2 in particular, this correspondence is shown to be1 :1. For the odd index 3, we show that no anticommuting matrices exist in the class of unitary anti-Hermitian matrices. We also show that the solutions obtained describe going around the potential barrier in the electron-proton transport problem.
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