Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term

Liqin Zhang, Wen-Xiu Ma and Yehui Huang

Advances in Mathematical Physics, 2020, vol. 2020, 1-8

Abstract:

A nonlinear PDE combining with a new fourth-order term is studied. Adding three new fourth-order derivative terms and some second-order derivative terms, we formulate a combined fourth-order nonlinear partial differential equation, which possesses a Hirota’s bilinear form. The class of lump solutions is constructed explicitly through Hirota’s bilinear method. Their dynamical behaviors are analyzed through plots.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:3542320

DOI: 10.1155/2020/3542320

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