(2+1)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions

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Date

2018

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Abstract

Wefirstconstructa(2+1)dimensionalnegativeAKNShierarchyandthenwegiveallpossiblelocaland(discrete)nonlocalreductionsoftheseequations.WefindHirotabilinearformsofthenegativeAKNShierarchyandgiveone-andtwo-solitonsolutions.ByusingthesolitonsolutionsofthenegativeAKNShierarchywefindone-solitonsolutionsofthelocalandnonlocalreducedequations.

Source Title

Communications in Nonlinear Science and Numerical Simulation

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Elsevier

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Ablowitz–Musslimani reduction, (2+1)-dimensional negative AKNS hierarchy, Hirota bilinear method, Soliton solutions

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Published Version (Please cite this version)

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English