  In the t-U-V Hubbard model on the square lattice we found self-consistent
analytic solution for the ground state with coexisting d-wave symmetric bond
ordered pair density wave (PDW) and spin (SDW) or charge (CDW) density waves,
as observed in some high-temperature superconductors. In particular, the
solution gives the same periodicity for CDW and PDW, and a pseudogap in the
fermi-excitation spectrum.
