孤立子理论中的哈密顿方法

ThebookisbasedontheHamiltonianinterpretationofthemethod，hencethetitle.MethodsofdifferentialgeometryandHamiitonianformalisminparticularareverypopularinmodernmathematicalphysics.ItispreciselythegeneralHamiltonianformalismthatpresentstheinversescatteringmethodinitsmostelegantform.Moreover，theHamiltonianformalismprovidesalinkbetweenclassicalandquantummechanics.Sothebookisnotonlyanintroductiontotheclassicalsolitontheorybutalsothegroundworkforthequantumtheoryofsolitons，tobediscussedinanothervolume.Thebookisaddressedtospecialistsinmathematicalphysics.Thishasdeterminedthechoiceofmaterialandthelevelofmathematicalrigour.Wehopethatitwillalsobeofinteresttomathematiciansofotherspecialitiesandtotheoreticalphysicistsaswell.Still，beingamathematicaltreatiseitdoesnotcontainapplicationsofsolitontheorytospecificphysicalphenomena.