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Nonlinear dynamical study to time fractional Dullian–Gottwald–Holm model of shallow water waves.
- Source :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics; 1/10/2022, Vol. 36 Issue 1, p1-17, 17p
- Publication Year :
- 2022
-
Abstract
- This paper studies the exact traveling wave solutions to the nonlinear Dullin–Gottwald–Holm model which has the application in shallow-water waves in which the fractional derivative is considered in the sense of conformable derivative. Diverse exact solutions in hyperbolic, trigonometric and plane wave forms are obtained using two integration norms. For this purpose G ′ / G -expansion method and reccati mapping techniques are used. The 3D plots and their corresponding contour graphs are also depicted. Being concise and straightforward, the calculations demonstrate the effectiveness and convenience of the method for solving other nonlinear partial differential equations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 02179792
- Volume :
- 36
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics
- Publication Type :
- Academic Journal
- Accession number :
- 154795431
- Full Text :
- https://doi.org/10.1142/S0217979222500047