For 1D piezoelectric crystal, the dispersion equation is a simple linear dependence between the frequency and the wave number. After connecting the crystal to the 2D electrical network of variable capacitors, we can obtain very unusual and tunable dispersion diagrams. We present analytic results describing dispersion equations for surface and volume acousto-electric waves and show the corresponding wave simulations. The talk is based on the papers: 1) A. A. Kutsenko, A. L. Shuvalov, and O. Poncelet, “Dispersion spectrum of acoustoelectric waves in 1D piezoelectric crystal coupled with 2D infinite network of capacitors,” J. Appl. Phys. 123, 044902 (2018); 2) A. A. Kutsenko, A. L. Shuvalov, O. Poncelet, and A. N. Darinskii, “Tunable effective constants of the one-dimensional piezoelectric phononic crystal with internal connected electrodes,” J. Acoust. Soc. Am. 137(2), 606–616 (2015).