The Existence of Solutions for the Problem in the Optical Lattice with Nonlocal Nonlinearity

(整期优先)网络出版时间:2012-04-14
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WeaddresstheimpactofnonlocalityinthephysicalfeaturesexhibitedbysolitonssupportedbyKerr-typenonlinearmediawithanimprintedopticallattice.WediscussthesolitonssolutionforaclassofnonlinearSchr¨odingerequationsintheopticallatticewithnonlocalnonlinearity.Wealsoshowviaauniformprioriestimatethatexistenceanduniquenessoftheglobalsolutionfortheinitialproblem.