COMPLEX SCALAR FIELDS IN ONE DIMENSION WITH FOURFOLD PHASE ANISOTROPY - SOLITARY-WAVE SOLUTIONS

We present solitary-wave solutions to a set of coupled nonlinear wave equations resulting from a model Lagrangian for a complex scalar (two-component) field in one space and one time dimension in the presence of fourfold phase anisotropy in the potential-energy density. We find two classes of solutions which correspond to 90°and 180°phase rotation, respectively. The 180°solution is found to bifurcate into two 90°solutions as the anisotropy magnitude is decreased past a special value. These results have application to commensurability-pinned one-dimensional charge-density-wave condensates and anisotropic ferromagnetic domain walls. © 1979 The American Physical Society.