New lump solutions to a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation

New lump solutions to a (3+1)-dimensional generalized Calogero–Bogoyavlenskii–Schiff equation

The aim of this paper is to show the existence of three-wave lump solutions to a (3+1)-dimensional generalized CBS (gCBS) equation. Based on the Hirota method, the quadratic functions of the form f=f12+f22+f32+d with nondegenerate condition are applied to solve the corresponding bilinear equation an...

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Veröffentlicht in:Applied mathematics letters 2023-07, Vol.141, p.108598, Article 108598
Hauptverfasser: Zhou, Yuan, Zhang, Xiaojing, Zhang, Chao, Jia, Junjing, Ma, Wen-Xiu
Format: Artikel
Sprache:eng
Schlagworte:
Generalized CBS equation
Lump solutions
Symbolic computation
The Hirota method
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Zusammenfassung:The aim of this paper is to show the existence of three-wave lump solutions to a (3+1)-dimensional generalized CBS (gCBS) equation. Based on the Hirota method, the quadratic functions of the form f=f12+f22+f32+d with nondegenerate condition are applied to solve the corresponding bilinear equation and to generate lump solutions to the gCBS equation. We present two examples of such nonlinear equations and their lump solutions. Moreover, 3-dimensional plots and contour plots are exhibited for three reduced lump solutions.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2023.108598