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:
computational methods for differential equationsجلد ۴، شماره ۴، صفحات ۲۹۸-۳۰۸
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