Abstract
One-dimensional monatomic and diatomic chains with harmonic coupling between neighbouring sites and an on-site anharmonic potential V(φ) = Cφ2n+2 + Bφn+2 + Aφ2 + D are examined in the displacive limit, which serves as a model for a structural phase transition. It is shown that these systems admit kinks, nonlinear phonons and periodon solutions. The eigenfunctions of the small oscillations about the kink solutions are also obtained. This complete set of eigenfunctions has been used to investigate the influence of impurities on the amplitude kink for n = 1 case of the potential. The kink solution change near the impurity is evaluated with the help of linear perturbation theory.
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