an:07144283
Zbl 1427.76197
Reza Hejazi, S.; Hosseinpour, Soleiman; Lashkarian, Elham
Approximate symmetries, conservation laws and numerical solutions for a class of perturbed linear wave type system
EN
Quaest. Math. 42, No. 10, 1393-1409 (2019).
00443425
2019
j
76M60 35A30 35Q35 34L16
approximate symmetry; approximate conservation laws; Noether's theorem; non-linear self-adjointness; Legendre polynomials
Summary: The present work considers the Lie group analysis of a system of linear wave type perturbed systems. The methodology is based on finding approximate symmetry operators of a given system. Approximate conservation laws are found via an approximate version of Noether's theorem. This is based on the modified Noether's method provided by Ibragimov. Finally a numerical method is applied to solve the considered system.