輔助方程法在非線性方程中的應(yīng)用.pdf

1、安徽大學(xué)碩士學(xué)位論文輔助方程法在非線性方程中的應(yīng)用姓名：張睿申請學(xué)位級別：碩士專業(yè)：理論物理指導(dǎo)教師：韓家驊201004ABSTRACTIIIABSTRACTWiththeconstantlydevelopmentofsciencetechnologymanynonlinearproblemsinalldisciplineshavearousedwidespreadattention.Theseproblemscanbeacterize

2、dbynonlinearevolutionequationshowtoconstructexactsolutionsoftheseequationsbecomeimptant.InthispapersomemethodsfsolvingnonlinearequationsarepresentationitfocusesontheauxiliaryequationmethodtononlinearequationsChapter1:sev

3、eralmethodstononlinearequationssuchasnonlinearhyperbolicfunctionexpansionmethodJacobiellipticfunctionexpansionmethodwereintroduced.Chapter2:theadvantagesofauxiliaryequationmethodweredescribedbygivingtheprocessofauxiliary

4、equationmethodtononlinearequationssomeauxiliaryequationsfit.Chapter3:thespecificapplicationofauxiliaryequationmethodtononlinearequationswasintroduced.AboundofexactsolutionsfaclassofnonlinearSchrdingerequationhighdimensio

5、nalvariablecoefficientnonlinearevolutionequationswereestablishedbychoosingtheappropriateauxiliaryequation.Chapter4theauxiliaryequationmethodintheapplicationofnonlinearequationswasexpedAboundofexactsolutionsftypeofsineGdo

6、nequationwereobtainedbygivingatrigonometrictypeofauxiliaryequationscontainingthefirstauxiliaryequationscombiningwithfunctionaltransfmation.Chapter5thesolutionsofsomeauxiliaryequationswereexpedthroughsomemethods.Lotsofinf