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Lump-type solutions for the (4+1)-dimensional Fokas equation via symbolic computations

Li Cheng

http://orcid.org/0000-0003-1787-9333

Normal School, Jinhua Polytechnic, Jinhua 321007, China

E-mail Address: jhchengli66@163.com

Corresponding author.

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and

Yi Zhang

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

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https://doi.org/10.1142/S0217984917502244Cited by:43 (Source: Crossref)

Abstract

Based on the Hirota bilinear form, two classes of lump-type solutions of the (4+1)-dimensional nonlinear Fokas equation, rationally localized in almost all directions in the space are obtained through a direct symbolic computation with Maple. The resulting lump-type solutions contain free parameters. To guarantee the analyticity and rational localization of the solutions, the involved parameters need to satisfy certain constraints. A few particular lump-type solutions with special choices of the involved parameters are given.

Keywords:

PACS: 02.30.Ik, 05.45.Yv

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