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.
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)