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

Under investigation in this paper is a modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equa-tion in fluid mechanics/plasma physics. Painlev & eacute; integrability is investigated. Soliton-cnoidal and resonant solutions are derived via the consistent tanh expansion method. The equation is reduced to certain sym-metry 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. (c) 2020 Elsevier Ltd. All rights reserved.

Automated summary

This paper investigates a modified Korteweg-de Vries-Calogero-Bogoyavlenskii-Schiff equation in fluid mechanics/plasma physics. Painlevé integrability is explored and soliton-cnoidal and resonant solutions are derived. The equation is reduced to certain symmetry reduction equations via Lie point symmetry generators, leading to hyperbolic function and rational solutions.