Study on exact solutions of a generalized Calogero–Bogoyavlenskii–Schiff​ equation

Lihui Han; Sudao Bilige; Runfa Zhang; Meiyu Li

Partial Differential Equations in Applied Mathematics (Dec 2020)

Study on exact solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation

Lihui Han,
Sudao Bilige,
Runfa Zhang,
Meiyu Li

Affiliations

Lihui Han: Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, PR China
Sudao Bilige: Corresponding author.; Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, PR China
Runfa Zhang: Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, PR China
Meiyu Li: Department of Mathematics, Inner Mongolia University of Technology, Hohhot, 010051, PR China

Journal volume & issue: Vol. 2
p. 100010

Abstract

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By employing the generalized bilinear method and symbolic computation, we obtain new exact solutions of a generalized Calogero–Bogoyavlenskii–Schiff equation, which include breather wave solutions, periodic lump soliton solutions, and rational solutions. Via the three-dimensional plot and density plot with the help of Maple, the physical characteristics of these waves are described very well. These outcomes will serve as a very significant milestone in the study of water waves in mathematical physics and engineering phenomena.

Published in Partial Differential Equations in Applied Mathematics

ISSN: 2666-8181 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
Website: https://www.journals.elsevier.com/partial-differential-equations-in-applied-mathematics

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