Painlevé analysis, group classification and exact solutions to the nonlinear wave equations

Hanze Liu (), Cheng-Lin Bai and Xiangpeng Xin
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Hanze Liu: School of Mathematical Sciences, Liaocheng University
Cheng-Lin Bai: School of Physics Science and Information Engineering, Liaocheng University
Xiangpeng Xin: School of Mathematical Sciences, Liaocheng University

The European Physical Journal B: Condensed Matter and Complex Systems, 2020, vol. 93, issue 2, 1-8

Abstract: Abstract This paper is concerned with the general regular long-wave (RLW) types of equations. By the combination of Painlevé analysis and Lie group classification method, the conditional Painlevé property (PP) and Bäcklund transformations (BTs) of the nonlinear wave equations are provided under some conditions. Then, all of the point symmetries of the nonlinear RLW types of equations are obtained, the exact solutions to the equations are investigated. Particularly, some explicit solutions are provided by the special function and Φ-expansion method. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1140/epjb/e2020-100402-6

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