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Multi-soliton solutions of the BBM equation arisen in shallow water. (English) Zbl 1329.37074
Summary: In this work, multiple soliton solutions and multiple singular soliton solutions are formally derived for the BBM equation. A novel transformation method combined with the Hirota’s bilinear method are used to determine the two sets of solutions, where each set has a distinct structure. The resonance phenomenon does not exist for the model under the study.

MSC:
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
35C08 Soliton solutions
Software:
HIROTA.MAX; MACSYMA
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