Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
basic_science · Level V
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- Record sourced from PubMed, PMID 24523885.
- Also identified by DOI 10.1371/journal.pone.0088336 and PMC identifier 3921151.
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Abstract
In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed. In the sense of point symmetry, all of the vector fields and the symmetry reductions of the fractional fifth-order KdV equation are obtained. At last, by virtue of the sub-equation method, some exact solutions to the fractional fifth-order KdV equation are provided.
Medical subject headings
- Mathematical Concepts
- Models, Theoretical