Multiple lump solutions of the (3 1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation

摘要

<br/>The bilinear method is employed to construct the multiple lump solutions of the (3 1)-dimensional potential Yu–Toda–Sasa–Fukuyama equation in fluid dynamics. The 1-lump solutions, 3-lump solutions and 6-lump solutions are explicitly presented. The centers of the 3-lump wave have a triangular structure, and the 6-lump wave possesses a central peak and five peaks in a ring. The dynamic characteristics of the obtained solutions are analyzed with the aid of numerical simulation.

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