Kumari, PGupta, R.KKumar, S.2020-07-162024-08-132020-07-162024-08-1320202190544410.1140/epjp/s13360-020-00460-2https://kr.cup.edu.in/handle/32116/2653The work presents systematic investigations on invariant analysis and the analytic solution of the second order Higgs equation. On employing Lie classical approach, new symmetry and the corresponding reduction of the system are obtained. Explicit convergent infinite series solution of the reduced system is obtained. Local conservation laws of the system are derived by the multiplier approach. 2020, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.en-USArticlehttps://link.springer.com/article/10.1140/epjp/s13360-020-00460-2