Abstract
This paper obtains solutions to the ZakharovKuznetsov modified equal width equation with power law nonlinearity. The Lie symmetry approach and the simplest equation method are used to obtain these solutions. Moreover, conservation laws are derived for the underlying equation by employing two approaches: the new conservation theorem and the multiplier method.
Original language | English |
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Pages (from-to) | 1692-1702 |
Number of pages | 11 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 13 |
Issue number | 4 |
DOIs | |
Publication status | Published - Aug 2012 |
Externally published | Yes |
Keywords
- Conservation laws
- Integrability
- Lie symmetries
- Lie symmetry methods
- Simplest equation method
- Solitons