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

Abstract

We point out novel connections between complex PT-invariant solutions of several nonlinear equations such as ${\varphi }^4$, ${\varphi }^6$, 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.

27 pages, no figures

References in corpus (2)

• Making Sense of Non-Hermitian Hamiltonians
• Novel PT-invariant Solutions For a Large Number of Real Nonlinear Equations