Articles with "fractional integrable" as a keyword



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The conservation laws with Lie symmetry analysis for time fractional integrable coupled KdV–mKdV system

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Published in 2018 at "International Journal of Non-linear Mechanics"

DOI: 10.1016/j.ijnonlinmec.2017.10.010

Abstract: Abstract In this paper, the fractional Lie symmetry method has been implemented for getting similarity reduction and conservation laws for time fractional integrable coupled KdV–mKdV system. Firstly, the fractional Lie symmetry method has been used… read more here.

Keywords: integrable coupled; time fractional; coupled kdv; fractional integrable ... See more keywords
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Fractional Integrable Nonlinear Soliton Equations.

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Published in 2022 at "Physical review letters"

DOI: 10.1103/physrevlett.128.184101

Abstract: Nonlinear integrable equations serve as a foundation for nonlinear dynamics, and fractional equations are well known in anomalous diffusion. We connect these two fields by presenting the discovery of a new class of integrable fractional… read more here.

Keywords: nonlinear soliton; integrable nonlinear; fractional integrable; soliton equations ... See more keywords