Soliton-mediated compression density waves and charge density in 2d layers of underdoped cuprate-like lattices

We study here the landscape of the excitations (compression density) of the nonlinear oxygen vibrations in a two-dimensional CuO2 layer. After studying regular lattices we investigate lattices with bonds which are weakly distorted due to an influence of weak doping (below the HTSC regime). We estimate the density of compressions (strain density) in dependence of a misfit of the CuO-bonds. We show that with increasing misfit the nonlinear oscillations of the O-atoms are organized in stripes. Assuming that the density of doping charges follows at least qualitatively the compression density, we discuss the stripe structures of the strain density as a possible origin for the experimentally observed stripe structures.