Browsing by Keywords "Ablowitz–Musslimani reduction"
Now showing items 1-3 of 3
-
(2+1)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions
(Elsevier, 2018)Wefirstconstructa(2+1)dimensionalnegativeAKNShierarchyandthenwegiveallpossiblelocaland(discrete)nonlocalreductionsoftheseequations.WefindHirotabilinearformsofthenegativeAKNShierarchyandgiveone-andtwo-solitonsolutions.Byu ... -
Nonlocal modified KdV equations and their soliton solutions by Hirota Method
(Elsevier, 2019)We study the nonlocal modified Korteweg–de Vries (mKdV) equations obtained from AKNS scheme by Ablowitz–Musslimani type nonlocal reductions. We first find soliton solutions of the coupled mKdV system by using the Hirota ... -
Superposition of the coupled NLS and MKdV systems
(Elsevier, 2019)Superpositions of hierarchies of integrable equations are also integrable. The superposed equations, such as the Hirota equations in the AKNS hierarchy, cannot be considered as new integrable equations. Furthermore if ...
