Exact solutions, conservation laws, and shock wave propagation of two-lanes traffic flow model via Lie symmetry
In this study, we consider a hyperbolic system of quasi-linear partial differential equations,
governed by the traffic flow model on two lanes. We employ symmetry analysis and establish …
governed by the traffic flow model on two lanes. We employ symmetry analysis and establish …
Classical and non-classical symmetries of time-fractional Navier–Stokes equation
SG Simon, B Bira - Indian Journal of Physics, 2024 - Springer
In this paper, the time-fractional Navier–Stokes equation arising in unsteady flow of viscous
fluid in the sense of Riemann–Liouville fractional derivative is considered. Then we …
fluid in the sense of Riemann–Liouville fractional derivative is considered. Then we …
Analysis of soliton wave structure for coupled Higgs equation via Lie symmetry, Paul Painlevé approach and the Unified method
In the present study, we explore novel analytical solutions to the nonlinear coupled Higgs
field equation by leveraging symmetry analysis. Specifically through the identification and …
field equation by leveraging symmetry analysis. Specifically through the identification and …
Preliminary group classification and exact solutions of Smoluchowski equation with a source
F Lin, Y Yang, X Yang, Q Zhang - Journal of Computational and Applied …, 2024 - Elsevier
Population balance equations are essential to scientists and engineers of widely varying
discipline, applications have covered a wide range of processes involving bioreactors …
discipline, applications have covered a wide range of processes involving bioreactors …
Lie Symmetries With Exact Solution for Time‐Fractional Foam Drainage Equation
SG Simon, B Bira - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
In this article, we consider a nonlinear time‐fractional foam drainage equation and
investigate the behavior of fluid flow through the foam. First, we apply the symmetry analysis …
investigate the behavior of fluid flow through the foam. First, we apply the symmetry analysis …
Exploring soliton patterns and dynamical analysis of the solitary wave form solutions of the (3+ 1)-dimensional Wazwaz–Benjamin–Bona–Mahony equation
In this work, the dynamical structure for the extended equation is analyzed through unified
Riccati equation expansion (UREE) and the Lie isomorphism method for the (3+ 1) …
Riccati equation expansion (UREE) and the Lie isomorphism method for the (3+ 1) …
A straightforward construction of -graded Lie algebras of full-fledged nonlocal symmetries via recursion operators
J Jahnova, P Vojcak - arXiv preprint arXiv:2407.00622, 2024 - arxiv.org
We consider the reduced quasi-classical self-dual Yang-Mills equation (rYME) and two
recently found (Jahnov\'{a} and Voj\v {c}\'{a} k, 2024) invertible recursion operators $\mathcal …
recently found (Jahnov\'{a} and Voj\v {c}\'{a} k, 2024) invertible recursion operators $\mathcal …