Group analysis for generalized reaction-diffusion convection equation
symmetry, group classification, differential invariants, Lie-classical method,infinitesimal criterion method, RDC equation, KPP equation, similarity solutions.
math.AP↗
arXiv subjects
Saeed Dodangeh
Publications and source records attributed to Saeed Dodangeh.
Group Analysis via Weak Symmetries For Benjamin-Bona-Mahony Equation
In this paper, weak symmetries of the Benjamin-Bona-Mahony (BBM) equation have been investigated. Indeed, this method has been performed by applying the non-classical symmetries of the BBM equation and the infinitesimal generators of the classical symmetry algebra of the KdV equation as the starting constraints. Similarity reduced equations as well as some exact solutions of the BBM equation are obtained via this method.
math.AP↗
Variational problems without having any non-trivial Lie variational symmetries
In this paper we construct variational problems without Lie non-trivial variational symmetry and solving them using new class of symmetries ($μ$-symmetry) which introduced by Guiseppe Gaeta and Paola Morando (2004). The central object in this paper is horizontal one-form $μ$ on first order jet space $J^1 M$.
math.AP↗