A. Aslam, F. M. Mahomed, A. Qadir, M. Safdar
, "Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods," Engineering World, vol. 2, pp. 86-95, 2020, DOI:
A. Aslam, F. M. Mahomed, A. Qadir, M. Safdar
. Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods.
Engineering World. 2020;2:86-95.
Engineering World
E-ISSN: 2692-5079 An Open Access, Peer Reviewed Journal of Selected Publications in Engineering and Applied Sciences
Volume 2, 2020
Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods
Authors: , , ,
Abstract: Invariants of symmetry groups under transformations of dependent and independent variables lead to simplification of differential equations and their exact solutions if solutions of the transformed equations are known. Though Lie developed his Symmetry Analysis for complex functions of complex variables, he did not explicitly use complex analyticity. We have applied Complex Symmetry Analysis in which we make explicit use of the Cauchy-Riemann equations and find that one can solve systems of differential equations by it for equations not readily amenable to the usual real methods. We show that, via complex methods, one can deduce invariants in a simple manner.
Pages: 86-95 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
WSEAS Transactions on Engineering World, E-ISSN: 2692-5079, Volume 2, 2020, Art. #14
×
Citation Tools