Solutions of the Broer-Kaup System through Its Trilinear Form

Junkichi Satsuma, Kenji Kajiwara, Junta Matsukidaira, Jarmo Hietarinta

Research output: Contribution to journalArticlepeer-review

41 Citations (Scopus)


Solutions of the Broer-Kaup system describing one-dimensional shallow water waves are discussed by using its trilinear form. It is shown that the soliton solutions have the interesting properties that (i) their speed is determined by a dispersion relation up to an overall constant, and (ii) there is a possibility of fusion and fission of solitons. These properties reflect the particular structure of the trilinear form.

Original languageEnglish
Pages (from-to)3096-3102
Number of pages7
Journaljournal of the physical society of japan
Issue number9
Publication statusPublished - Dec 1992
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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