Lump Solutions of a Nonlinear PDE Combining with a New Fourth-Order Term Dx2Dt2∗. (1st February 2020)

• Record Type: Journal Article
• Authors: Zhang, Liqin; Ma, Wen-Xiu; Huang, Yehui
• Other Names: Raymond Laurent Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2020(2020)
• Publication Date: 2020-02-01
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2020/3542320
• Languages: English
• ISSNs: 1687-9120

Abstract

Abstract : A nonlinear PDE combining with a new fourth-order term D x 2 D t 2 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.