Abstract
Scattering of weakly nonlinear waves in a one-dimensional anharmonic lattice due to a very heavy impurity is investigated. Lattice waves are assumed to be slowly varying. The incident, reflected and transmitted waves are governed by the Korteweg de Veries (K-dV) equations on different coordinates. We analytically construct the transmitted and reflected waves from the incident wave. In particular, scattering of an incident soliton is analyzed. It is shown that at least one soliton is always generated both in the transmitted and the reflected waves. More than two transmitted solitons are generated if the mass of the impurity is large enough. We also evaluate the amplitudes of the reflected and transmitted solitons.
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