Numerical determination of some generic nonlinear excitations in condensed matter physics

Abstract
Several classes of nonlinear, vector-field Hamiltonians in one spatial dimension are introduced, and numerical analyses of the kink or particle-like excitations supported by their associated classical field equations of motion are described. The generic character of these nonlinear mathematical problems in many branches of physics is stressed. Detailed results are presented for specific examples in statistical mechanics and condensed matter physics: an anisotropic XY model; interfaces in three-phase equilibria; and a complex order parameter Landau–Ginzburg model with discrete phase symmetry.

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