Periodic traveling waves in the ϕ^{4} model: Instability, stability, and localized structures.
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DOI: 10.1103/physreve.107.034210
Abstract: We consider the instability and stability of periodic stationary solutions to the classical ϕ^{4} equation numerically. In the superluminal regime, the model possesses dnoidal and cnoidal waves. The former are modulationally unstable and the spectrum forms… read more here.
Keywords: periodic traveling; instability; traveling waves; instability stability ... See more keywords