Abstract
Coupled triple well (ϕ6) one-dimensional potentials occur in both condensed matter physics and field theory. Here we provide a set of exact periodic solutions in terms of elliptic functions (domain wall arrays) and obtain single domain wall solutions in specific limits. Topological, nontopological (e.g., some pulselike solutions), as well as mixed domain walls are obtained. We relate these solutions to structural phase transitions in materials with polarization, shuffle modes, and strain. We calculate the energy and the asymptotic interaction between solitons for various solutions.
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