On the analytical approach to the N-fold B\"acklund transformation of Davey-Stewartson equation
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🧮 math.AP
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acklunddavey-stewartsonequationn-foldtransformationanalyticanalyticalapproach
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N-fold B\"acklund transformation for the Davey-Stewartson equation is constructed by using the analytic structure of the Lax eigenfunction in the complex eigenvalue plane. Explicit formulae can be obtained for a specified value of N. Lastly it is shown how generalized soliton solutions are generated from the trivial ones.
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