Abstract
A procedure is described for deriving the ‘anomalous’ soliton solutions of the fifth-order Kaup-Kupershmidt (KK) equation; these solutions are compared with the ‘regular’ solitons of the companion Sawada-Kotera (SK) equation. The first few solitons of the KK equation are constructed explicitly and, in a novel departure from Hirota's bilinear transform, an iteration method is presented for obtaining multisoliton solutions of any order.
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