Abstract
In this work, meticulous solutions of the three-dimensional Zakharov-Kuznetsov equation are gained. Lie group analysis is utilized to convey the integration of the underlying equation. We also employ the ansatz method to obtain further exact solutions. The results obtained are solitary waves. Moreover, conservation laws are derived by using the characteristic method.
Original language | English |
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Pages (from-to) | 2553-2563 |
Number of pages | 11 |
Journal | Journal of Interdisciplinary Mathematics |
Volume | 25 |
Issue number | 8 |
DOIs | |
Publication status | Published - 2022 |
Keywords
- 35C05
- 35C07
- 35G20
- Conservation laws
- Integrability
- Lie symmetries
- Lie symmetry methods
- Simplest equation method
- Solitons