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

Liqin Zhang; Wen-Xiu Ma; Yehui Huang

doi:10.1155/2020/3542320

Advances in Mathematical Physics (Jan 2020)

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

Liqin Zhang,
Wen-Xiu Ma,
Yehui Huang

Affiliations

Liqin Zhang: College of Information Science and Artificial Intelligence, Xiamen Institute of Technology, Xiamen 361021, Fujian, China
Wen-Xiu Ma: Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA
Yehui Huang: Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA

DOI: https://doi.org/10.1155/2020/3542320
Journal volume & issue: Vol. 2020

Abstract

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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.

Published in Advances in Mathematical Physics

ISSN: 1687-9120 (Print); 1687-9139 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Physics
Website: https://www.hindawi.com/journals/amp/

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