Lump Solutions of a Nonlinear PDE Combining with a New Fourth‐Order Term Dx2Dt2∗

Liqin Zhang, Wen-Xiu Ma and Yehui Huang

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: A nonlinear PDE combining with a new fourth‐order term Dx2Dt2 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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https://doi.org/10.1155/2020/3542320

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:3542320

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