Lie symmetry analysis and conservation laws of non-linear (2+1) elastic wave equation

被引：19
|
作者：
Usman, M. [1 ]
Zaman, F. D. [1 ]
机构：
[1] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
来源：
ARABIAN JOURNAL OF MATHEMATICS | 2023年 / 12卷 / 01期
关键词：
74J30;
D O I：
10.1007/s40065-022-00392-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The elastic wave propagation in inelastic media gives rise to non-linear wave equation. We study such a nonlinear wave in two dimensions using Murnaghan model. Lie symmetries, invariant exact solutions and conservation laws using the Noether theorem have been found. The nonlinear elastic wave equation with a damping term has been dealt with using the partial Noether approach.
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页码：265 / 276
页数：12
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