Conserved vectors and symmetry solutions of the Landau–Ginzburg–Higgs equation of theoretical physics
Chaudry Masood Khalique,
Mduduzi Yolane Thabo Lephoko
Abstract:This paper is devoted to the investigation of the Landau-Ginzburg-Higgs equation (LGHe), which serves as a mathematical model to understand phenomena such as superconductivity and cyclotron waves. The LGHe finds applications in various scientific fields, including fluid dynamics, plasma physics, biological systems, and electricity-electronics. The study adopts Lie symmetry analysis as the primary framework for exploration. This analysis involves the identification of Lie point symmetries that are admitted by t… Show more
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