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

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(2+1)-dimensional_local_and_nonlocal_reductions_of_the_negative_AKNS_system_Soliton_solutions.pdf (537 KB)

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2018

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Abstract

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

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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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http://hdl.handle.net/11693/52856

Published Version (Please cite this version)

https://dx.doi.org/10.1016/j.cnsns.2018.11.016

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Scholarly Publications - Mathematics

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English

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Article