Abstract
A nonlinear wave propagating along a one-dimensional anharmonic lattice with a single defect is investigated theoretically by using a continuum approximation. The Modified Korteweg-de Vries (MK-dV) equation is shown by applying the reductive perturbation method to this lattice, and a one soliton is obtained as its stationary solution. It is newly shown that the amplitude, the velocity and the nonlinear coupling coefficient of the soliton vary according to a coordinate moving at the velocity of wave. The MK-dV soliton obtained in this paper accounts for a nonlinear normal mode of vibration in a one-dimensional anharmonic lattice system containing a single defect.
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