Integral—Type Darboux Transformations for the mKdV Hierarchy with Self

摘要 Wepresentintegral-typeDarbouxtransformationforthemKdVhierarchyandforthemKdVhierarchywithself-consistentsources.IncontrastwiththenormalDarbouxtransformation,theintegral-typeDarbouxtransformationscanoffernon-auto-Backlundtransformationbetweentwo(2n+1)-thmKdVequationswithself-consistentsourceswithdifferentdegrees.ThiskindofDarbouxtransformationenablesustoconstructtheN-solitonsolutionforthemKdVhierarchywithself-consistentsources.Wealsoproposetheformulasforthemtimesrepeatedintegral-typeDarbouxtransformationsforbothmKdVhierarchyandmKdVhierarchywithself-consistentsources.

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Integral—Type Darboux Transformations for the mKdV Hierarchy with Self—COnsistent Sources

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Integral—Type Darboux Transformations for the mKdV Hierarchy with Self—COnsistent Sources

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