We study the integrable systems in higher dimensions which can be written by the trilinear form instead of by the Hirota's bilinear form. We explicitly discuss the Bogoyavlenskii-Schiff equation in (2 + 1) dimensions. Its analytical proof of multisoliton solution and a new feature are given. Being guided by the strong symmetry, we also propose a new equation in (3 + 1) dimensions.
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Yu et al. (1998) studied this question.
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