High-order lump-type solutions and their interaction solutions to a (3+1)-dimensional nonlinear evolution equation

Tao FANG, Hui WANG, Yunhu WANG, Wen-Xiu MA

Research output: Contribution to journalArticles

4 Citations (Scopus)

Abstract

By means of the Hirota bilinear method and symbolic computation, high-order lump-type solutions and a kind of interaction solutions are presented for a (3+1)-dimensional nonlinear evolution equation. The high-order lump-type solutions of the associated Hirota bilinear equation are presented, which is a kind of positive quartic-quadratic-function solution. At the same time, the interaction solutions can also be obtained, which are linear combination solutions of quartic-quadratic-functions and hyperbolic cosine functions. Physical properties and dynamical structures of two classes of the presented solutions are demonstrated in detail by their graphs. Copyright © 2019 Chinese Physical Society and IOP Publishing Ltd.
Original languageEnglish
Article number927
JournalCommunications in Theoretical Physics
Volume71
Issue number8
DOIs
Publication statusPublished - Aug 2019

Citation

Fang, T., Wang, H., Wang, Y.-H., & Ma, W.-X. (2019). High-order lump-type solutions and their interaction solutions to a (3+1)-dimensional nonlinear evolution equation. Communications in Theoretical Physics, 71(8). Retrieved from https://doi.org/10.1088/0253-6102/71/8/927

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