Nonlinear wave in a diatomic Toda lattice

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Abstract
We use a method based on Fourier analysis to obtain wave-train solutions for monatomic as well as diatomic lattices with exponential nearest-neighbor interaction. The monatomic solution obtained by our method agrees with the solutions of Toda. The nonlinear dispersion relation found by us for the diatomic chain goes over to known results in the appropriate limits. The effect of nonlinearity on the dispersion curves is illustrated for various mass ratios.