GENERAL SOLUTION FOR INTERACTION OF SOLITARY WAVES INCLUDING HEAD-ON COLLISIONS

(整期优先)网络出版时间:1993-02-12
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AgeneralsolutionoftheBoussinesqequationispresentedwhichsolvestheproblemofinteractionofanynumberofright-goingandleft-goingsolitarywaves.Thesolutionreliesontheexactsolu-tionofGardner,Greene,Kruskal,andMiura(1967),andhasthesamedegreeofaccuracyasthatsolution,buthasawiderscopeofapplication.Itismuchsimplerthan,butasaccurateas,Hirota’sexactsolu-tion(1973)oftheBoussinesqequation,towhichthepresentsolutioniscomparedforthesimplestcaseoftwosolitarywavesinhead-oncollision.