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INVESTIGATION OF THE TIME FRACTIONAL GENERALIZED (2+1)-DIMENSIONAL ZAKHAROV–KUZNETSOV EQUATION WITH SINGLE-POWER LAW NONLINEARITY.
- Source :
-
Fractals . 2023, Vol. 31 Issue 5, p1-14. 14p. - Publication Year :
- 2023
-
Abstract
- In this paper, we studied the time fractional generalized (2 + 1) -dimensional Zakharov–Kuznetsov (ZK) equation with single-power law nonlinearity, which can be used to describe weakly nonlinear ion-acoustic waves in strongly magnetized lossless plasma in two dimensions. Through the fractional Lie transformation group idea, the symmetries, similarity reduction, one-parameter Lie transformation group and conservation laws of these considered equations were obtained. In addition, some new exact solutions were also constructed for them. These novel results provide a new perspective for studying the evolutionary mechanism of these considered models. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0218348X
- Volume :
- 31
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Fractals
- Publication Type :
- Academic Journal
- Accession number :
- 169393783
- Full Text :
- https://doi.org/10.1142/S0218348X23500330