Soliton Fission in Anharmonic Lattices with Reflectionless Inhomogeneity

Based upon the preyiously derived equation, which includes as special cases the inhomogeneous KdV and MKdV equations, the lattice soliton propagation under the finite but gentle inhomogeneity is re-examined. It is shown that such inhomogeneity does not generate the reflected waves in the lowest order approximation to the original continuum lattices. In addition to a gradual mass interface, for several kinds of mild inhomogeneities, explicit formulae giving the number and the amplitude of solitons appearing from fission are obtained.

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