Investigations of short range lattice fluctuations and anharmonic lattice modulation of the CuO_2 plane, in the Bi_2Sr_2CaCu_2O_(8+ delta ) superconductors, with high momentum resolution extended x-ray fine structure (EXAFS) and x-ray diffraction (XRD), show the coexistence of the polaronic and itinerant charges ordered in lattice-charge stripes with the wavevector qlattice and a strong second harmonic content with 2qlattice. The study of momentum distribution of spectral weight around the Fermi level, measured by angle resolved photoemission (ARPES), revelas a large suppression of spectral weight due to coupling of charge carriers with joint incommensurate charge density wave at q(-0.4 pi , 00.4 pi ) -2qlattice in the diagonal direction and the spin density wave at G ( pi , pi ) in the direction of the stripes. The lattice0charge stripes and their implication on the electronic spectral weight are briefly discussed.
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