The Wronskian formulation of the N-soliton solutions of various nonlinear evolution equations-modified Korteweg-de Vries (with both zero and non-zero asymptotic conditions), sine-Gordon, Korteweg-de Vries, Kadomtsev-Petviashvili and Boussinesq equations-are obtained by inductive use of Backlund transformations in Hirota's (1980) bilinear notation.
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Nimmo et al. (1984) studied this question.
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