TRAVELING WAVE SOLUTIONS FOR A CLASS OF NONLINEAR DISPERSIVE EQUATIONS

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摘要 Themethodofthephaseplaneisemploiedtoinvestigatethesolitaryandperiodictravelingwavesforaclassofnonlineardispersivepartialdifferentialequations.Byusingthebifurcationtheoryofdynamicalsystemstodoqualitativeanalysis,allpossiblephaseportraitsintheparametricspaceforthetravelingwavesystemsareobtained.Itcanbeshownthattheexistenceofasingularstraightlineinthetravelingwavesystemisthereasonwhysmoothsolitarywavesolutionsconvergetosolitarycuspwavesolutionwhenparametersarevaried.Thedifferentparameterconditionsfortheexistenceofsolitaryandperiodicwavesolutionsofdifferentkindsarerigorouslydetermined.
机构地区 不详
出版日期 2002年03月13日(中国期刊网平台首次上网日期,不代表论文的发表时间)