Symmetry analysis is a powerful tool that enables the user to construct exact solutions of a given differential equation in a fairly systematic way. For this reason, the Lie point symmetry groups of most well-known differential equations have been catalogued. It is widely believed that the set of symmetries of an initial-value problem (or boundary-value problem) is a subset of the set of symmet...

An analysis of dark matter within the framework of modular invariant soft breaking is given. In such scenarios inclusion of the radiative electroweak symmetry breaking constraint determines tanβ which leads to a more constrained analysis. It is shown that for μ positive for this constrained system the WMAP data leads to upper limits on sparticle masses that lie within reach of the LHC with also...

Classical and exceptional Lie algebras their representations are among the most important tools in analysis of symmetry physical systems. In this letter we show how computation tensor products branching rules irreducible machine-learnable, can achieve relative speed-ups orders magnitude comparison to non-ML algorithms.

In this work, we investigate invariance analysis, conservation laws, and exact power series solutions of time fractional generalized Drinfeld–Sokolov systems (GDSS) using Lie group analysis. Using point symmetries the Erdelyi–Kober (EK) differential operator, GDSS equation is reduced to a nonlinear ordinary (ODE) order. Moreover, have constructed laws for obtained explicit ODEs that converge. L...

Lie symmetry analysis is an established method for generating symmetries of differential equations. We apply this together the generalized fundamental theorem double reduction. In particular, Noether and some associated conservation laws are constructed in our investigation to find exact solutions higher order partial equations complex