Polynomial and non-polynomial solutions set for wave equation using Lie point symmetries

被引：0

作者：

Lashkarian, Elham ^{[1
]}

Hejazi, S. Reza ^{[1
]}

机构：

[1] Shahrood Univ Technol, Dept Math Sci, Shahrood, Semnan, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2016年 / 4卷 / 04期

关键词：

Wave equation; Symmetry; Similarity solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：298 / 308

页数：11

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