(2+1)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions
Date
2018
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Source Title
Communications in Nonlinear Science and Numerical Simulation
Print ISSN
1007-5704
Electronic ISSN
Publisher
Elsevier
Volume
71
Issue
Pages
161 - 173
Language
English
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Journal Title
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Volume Title
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2
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9
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Abstract
Wefirstconstructa(2+1)dimensionalnegativeAKNShierarchyandthenwegiveallpossiblelocaland(discrete)nonlocalreductionsoftheseequations.WefindHirotabilinearformsofthenegativeAKNShierarchyandgiveone-andtwo-solitonsolutions.ByusingthesolitonsolutionsofthenegativeAKNShierarchywefindone-solitonsolutionsofthelocalandnonlocalreducedequations.