The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form

Abstract

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.