Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries
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Abstract:
This paper obtains the exact solutions of the wave equation as a second-order partial differential equation (PDE). We are going to calculate polynomial and non-polynomial exact solutions by using Lie point symmetry. We demonstrate the generation of such polynomial through the medium of the group theoretical properties of the equation. A generalized procedure for polynomial solution is presented and this extended to the construction of related polynomials.
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Journal title
volume 4 issue 4
pages 298- 308
publication date 2016-10-01
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