Research Article
Lie Algebra Classification, Conservation Laws, and Invariant Solutions for a Generalization of the Levinson–Smith Equation
Table 3
Solutions for (
3) using invariant curve condition.
| | Elements | | Solutions | Type solution |
| 1 | | | | Explicit | 2 | | | | Trivial | 3 | | | | Trivial | 4 | | | | Explicit | 5 | | | | Explicit | 6 | | | . | Implicit | 7 | | | . | Explicit | 8 | | | | Trivial | 9 | | | | Explicit | 10 | | | | Explicit | 11 | | | | Explicit | 12 | | | | Explicit | 13 | | | | Implicit | 14 | | | | Explicit | 15 | | | | Explicit | 16 | | | | Explicit | 17 | | | | Explicit | 18 | | | | Explicit | 19 | | | | Explicit | 20 | | | | Explicit |
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