Symmetry reduction, exact solutions, and conservation laws of the ZK-BBM equation. (English) Zbl 1247.35126
Summary: Employing the classical Lie method, we obtain the symmetries of the ZK-BBM equation. Applying the given Lie symmetry, we obtain the similarity reduction, group invariant solution, and new exact solutions. We also obtain the conservation laws of ZK-BBM equation of the corresponding Lie symmetry.
MSC:
| 35Q51 | Soliton equations |
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
| 35L65 | Hyperbolic conservation laws |
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