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Exact Solutions and Conservation Laws of Time-Fractional Levi Equation
| Content Provider | MDPI |
|---|---|
| Author | Feng, Wei |
| Copyright Year | 2020 |
| Description | Exact solutions were derived for a time-fractional Levi equation with Riemann–Liouville fractional derivative. The methods involve, first, the reduction of the time-fractional Levi equation to fractional ordinary differential equations with Erdélyi-Kober fractional differential operator with respect to point symmetry groups, and second, use of the invariant subspace to reduce the time-fractional Levi equation into a system of fractional ordinary differential equations, which were solved by the symmetry group method. The obtained explicit solutions have interesting analytic behaviors connected with blow-up and dispersion. The conservation laws generated by the point symmetries of the time-fractional Levi equation are shown via nonlinear self-adjointness method. |
| Starting Page | 1074 |
| e-ISSN | 20738994 |
| DOI | 10.3390/sym12071074 |
| Journal | Symmetry |
| Issue Number | 7 |
| Volume Number | 12 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-06-30 |
| Access Restriction | Open |
| Subject Keyword | Symmetry Mathematical Physics Time-fractional Levi Equation Conservation Laws Invariant Subspace Exact Solutions |
| Content Type | Text |
| Resource Type | Article |
