摘要
Themethodofthephaseplaneisemploiedtoinvestigatethesolitaryandperiodictravelingwavesforaclassofnonlineardispersivepartialdifferentialequations.Byusingthebifurcationtheoryofdynamicalsystemstodoqualitativeanalysis,allpossiblephaseportraitsintheparametricspaceforthetravelingwavesystemsareobtained.Itcanbeshownthattheexistenceofasingularstraightlineinthetravelingwavesystemisthereasonwhysmoothsolitarywavesolutionsconvergetosolitarycuspwavesolutionwhenparametersarevaried.Thedifferentparameterconditionsfortheexistenceofsolitaryandperiodicwavesolutionsofdifferentkindsarerigorouslydetermined.
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)