Painleve截?cái)嗾归_與非線性發(fā)展方程的精確解.pdf

1、內(nèi)蒙古師范大學(xué)碩士學(xué)位論文Painleve截?cái)嗾归_與非線性發(fā)展方程的精確解姓名：于海杰申請(qǐng)學(xué)位級(jí)別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：斯仁道爾吉20080401內(nèi)蒙古師范大學(xué)碩士學(xué)位論文ABSTRACTThisdissertationmainlystudiesthemethodsinsolitontheoryforfindingexactsolutionsofnonlinearevolutionequations，suchastheBiick

2、lundtransformationmethod，truncatedPainlev6expansionmethod，theCKdirectmethodandSOon，Thefirstchapterintroducestheconceptofsolitons，itsdevelopmentsandmeaningswithourmainworkInthesecondchapterthePainlev6propertyanditsnewdeve

3、lopmentareintroducedInthethirdchaptertherecursionoperatorandthetotalresonancesofthemodifiedKdVequationareobtainedbytheuseofPainlev6analysisIntheforthchapterexacttravellingwavesolutionstoseveralnonlinearevolutionequations

4、fireobtainedbytruncatedPainlev6expansionmethodInthefifthchaptertheCKdirectmethodisextendedteduceavariablecoefficientBoussinesqequationandsomenewsimilaritysolutionsarefoundAfewmistakesin[57】arealsocorrectedKEYWORDS：Painle