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Polynomial and non-polynomial solutions set for wave equation with using Lie point symmetries | ||
| Computational Methods for Differential Equations | ||
| مقاله 4، دوره 4، شماره 4، دی 2016، صفحه 298-308 اصل مقاله (625.81 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Elham Lashkarian؛ Reza Hejazi* | ||
| Department of Mathematical Sciences, Shahrood University of Technology, Shahrood, Semnan, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Wave equation؛ Symmetry؛ Similarity solution | ||
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