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Multiscale expansions in discrete world

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Abstract

In this paper, we show the attainability of KdV equation from some types of nonlinear Schrödinger equation by using multiscale expansions discretely. The power of this manageable method is confirmed by applying it to two selected nonlinear Schrödinger evolution equations. This approach can also be applied to other nonlinear discrete evolution equations. All the computations have been made with Maple computer packet program.

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Authors and Affiliations

  1. Eskişehir Osmangazi University, Art-Science Faculty, Department of Mathematics and Computer Sciences, Eskişehir, Türki̇ye

    ÖMER ÜNSAL, FILIZ TAŞCAN & MEHMET NACI ÖZER

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  1. ÖMER ÜNSAL
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  2. FILIZ TAŞCAN
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  3. MEHMET NACI ÖZER
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Correspondence to FILIZ TAŞCAN.

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ÜNSAL, Ö., TAŞCAN, F. & ÖZER, M.N. Multiscale expansions in discrete world. Pramana - J Phys 83, 21–28 (2014). https://doi.org/10.1007/s12043-014-0767-9

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  • DOI: https://doi.org/10.1007/s12043-014-0767-9

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