Envelope Soliton of the Bloch Wave in Nonlinear Periodic Lattices.

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  • Iizuka Takeshi
    Department of Physics, Faculty of Science, Ehime University, Matsuyama 790–77

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  • Envelope Soliton of the Bloch Wave in N

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Using a recently presented theory of nonlinear periodic systems, we investigate wave propagations in anharmonic periodic lattices. If the system is linearized, it has Bloch type solutions which are regarded as an extension of the monochromatic waves. It is shown that the modulations of the Bloch wave due to the nonlinearity and the dispersion obey the nonlinear Schrödinger equation. One of the important results is that envelope soliton propagates in the periodic lattices.

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