Envelope Soliton Fission Due to Reflectionless Inhomogeneity

  • Ono Hiroaki
    Department of Mathematics and Physics, Faculty of Engineering, Setsunan University

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  • Envelope Soliton Fission Due to Reflect

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Modulation of one-dimensional anharmonic lattice waves due to reflectionless inhomogeneity is shown to be governed by the inhomogeneous nonlinear Schrödinger equation. Based upon that equation, the behavior of envelope solitons in a step-like inhomogeneity is investigated. Unlike a dicontinuous mass interface, such a gradual mass interface is found not to lead to fission of an envelope soliton of bright type, but inhomogeneity of spring constants do. Explicit formulas concerning the fission of a weak envelope soliton of dark type are also derived.

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