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