Nonlocal Symmetries and Boussinesq Explicit Solutions of the Equation

(整期优先)网络出版时间:2014-06-16
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ThenonlocalsymmetryoftheBoussinesqequationisobtainedfromtheknownLaxpair.Theexplicitanalyticinteractionsolutionsbetweensolitarywavesandcnoidalwavesareobtainedthroughthelocalizationprocedureofnonlocalsymmetry.Someothertypesofsolutions,suchasrationalsolutionsanderrorfunctionsolutions,aregivenbyusingthefourthPainlev′eequationwithspecialvaluesoftheparameters.Forsomeinterestingsolutions,thefiguresaregivenouttoshowtheirproperties.