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A bidirectional Kaup-Kupershmidt equation and directionally dependent solitons

Lookup NU author(s): John Dye, Dr Allen Parker

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Abstract

Exact multisoliton solutions are obtained for the bidirectional Kaup-Kupershmidt equation that was reported in a recent paper [J. Math. Phys. 42, 2567 (2001)] - this fills the gap that was left in the prior study. These solutions are found to possess the same remarkable, and unusual, property as the solitary-wave solution; namely, their wave profiles are directionally dependent. In particular, solitons are presented which describe multiple "head-on" collisions between single- and double-humped solitary waves. Explicit expressions are given for the first few multisoliton solutions and a procedure is described for constucting the general N-soliton by iteration on the solitons of lower order. © 2002 American Institute of Physics.

Publication metadata

Author(s): Dye JM, Parker A

Publication type: Article

Publication status: Published

Journal: Journal of Mathematical Physics

Year: 2002

Volume: 43

Issue: 10

Pages: 4921-4949

ISSN (print): 0022-2488

ISSN (electronic): 1089-7658

Publisher: American Institute of Physics

URL: http://dx.doi.org/10.1063/1.1503866

DOI: 10.1063/1.1503866

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