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Symmetry analysis and soliton–cnoidal solutions of the negative-order Calogero–Bogoyavlenskii–Schiff equation in fluid mechanics.
- Source :
-
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics . 6/20/2023, Vol. 37 Issue 15, p1-11. 11p. - Publication Year :
- 2023
-
Abstract
- In this paper, a special integrable negative-order Calogero–Bogoyavlenskii–Schiff equation (nCBS) in fluid mechanics is studied by means of the symmetry reduction method and consistent tanh expansion method. The Painlevé integrability is investigated to confirm the compatibility conditions. This integrable nCBS equation has been transformed into different reduction equations and the corresponding invariant solutions with arbitrary functions are obtained. The corresponding structures of the invariant solutions for the nCBS equation are also shown graphically. At last, new types of soliton–cnoidal interaction solutions for the nCBS equation are presented through the consistent tanh expansion method on the basis of the truncated Painlevé expansion. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FLUID mechanics
*SYMMETRY
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 02179792
- Volume :
- 37
- Issue :
- 15
- Database :
- Academic Search Index
- Journal :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 162755758
- Full Text :
- https://doi.org/10.1142/S0217979223501485