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- Title
Painlevé Test, Bäcklund Transformation and Consistent Riccati Expansion Solvability for two Generalised Cylindrical Korteweg-de Vries Equations with Variable Coefficients.
- Authors
El-Shiekh, Rehab M.
- Abstract
In this paper, the integrability of the (2+1)-dimensional cylindrical modified Korteweg-de Vries equation and the (3+1)-dimensional cylindrical Korteweg-de Vries equation with variable coefficients arising in dusty plasmas in its generalised form was studied by two different techniques: the Painlevé test and the consistent Riccati expansion solvability. The integrability conditions and Bäcklund transformations are constructed. By using Bäcklund transformations and the solutions of the Riccati equation many new exact solutions are found for the two equations in this study. Finally, the application of the obtained solutions in dusty plasmas is investigated.
- Subjects
COEFFICIENTS (Statistics); PLASMA gases; RICCATI equation; PAINLEVE equations; EQUATIONS
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 3, p207
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2017-0349