Connections Between Complex PT-Invariant Solutions and Complex Periodic Solutions of Several Nonlinear Equations

We point out novel connections between complex PT-invariant solutions of several nonlinear equations such as $ϕ^4$, $ϕ^6$, sine-Gordon, hyperbolic sine-Gordon, double sine-Gordon, double hyperbolic sine-Gordon, mKdV, etc. We then use these connections to obtain several new complex PT-invariant periodic solutions of some of these equations.

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