Painlevé analysis, Lie group analysis and soliton-cnoidal, resonant, hyperbolic function and rational solutions for the modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics

Fei-Yan Liu, Yi-Tian Gao, Xin Yu, Cui-Cui Ding, Gao-Fu Deng and Ting-Ting Jia

Chaos, Solitons & Fractals, 2021, vol. 144, issue C

Abstract: Under investigation in this paper is a modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Painlevé integrability is investigated. Soliton-cnoidal and resonant solutions are derived via the consistent tanh expansion method. The equation is reduced to certain symmetry reduction equations via the Lie point symmetry generators obtained though the Lie group method. Hyperbolic function and rational solutions are derived through those symmetry reduction equations.

Keywords: Modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation; Painlevé analysis; Lie group analysis; Analytical solutions (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:144:y:2021:i:c:s0960077920309504

DOI: 10.1016/j.chaos.2020.110559

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