Abstract

In this paper, we provide a generating mechanism to obtain rogue wave solutions from N soliton of Hirota's bilinear method. Based on the long wave limit method, the phase parameters are reconstructed to generating rogue wave solutions of Korteweg–de Vries Benjamin-Bona-Mahony equation. The rogue wave solutions are expressed explicitly in rational forms. Besides fundamental pattern of rogue waves, the triangle or pentagon pattern have been revealed. Both types of triangle and pentagon patterns are resolved upon different choices of free parameters introduced.

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