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

Gürses, MetinPekcan, A.2020-01-282020-01-2820181007-5704http://hdl.handle.net/11693/52856Wefirstconstructa(2+1)dimensionalnegativeAKNShierarchyandthenwegiveallpossiblelocaland(discrete)nonlocalreductionsoftheseequations.WefindHirotabilinearformsofthenegativeAKNShierarchyandgiveone-andtwo-solitonsolutions.ByusingthesolitonsolutionsofthenegativeAKNShierarchywefindone-solitonsolutionsofthelocalandnonlocalreducedequations.EnglishAblowitz–Musslimani reduction(2+1)-dimensional negative AKNS hierarchyHirota bilinear methodSoliton solutions(2+1)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutionsArticle10.1016/j.cnsns.2018.11.016