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Lookup NU author(s): Dr Allen Parker
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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.
Author(s): Parker A
Publication type: Article
Publication status: Published
Journal: Reports on Mathematical Physics
Year: 2000
Volume: 46
Issue: 1-2
Pages: 217-224
ISSN (print): 0034-4877
ISSN (electronic): 1879-0674
Publisher: Pergamon
URL: http://dx.doi.org/10.1016/S0034-4877(01)80026-4
DOI: 10.1016/S0034-4877(01)80026-4
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