arXiv subjects

F. D. Zaman

Publications and source records attributed to F. D. Zaman.

3 recordsLinked to original sources

arXiv2016

Symmetry group classification and optimal reduction of a class of damped Timoshenko beam system with a nonlinear rotational moment

We consider a nonlinear Timoshenko system of partial differential equations (PDEs) with a frictional damping term in rotation angle. The nonlinearity is due to the arbitrary dependence on the rotation moment. A Lie symmetry group classification of the arbitrary function of rotation moment is presented. An optimal system of one-dimensional subalgebras of the nonlinear damped Timoshenko system is derived for all the non-linear cases. All possible invariant variables of the optimal systems for the three non-linear cases are presented. The corresponding reduced systems of ordinary differential equations (ODEs) are also provided.

math.AP↗

arXiv2015

Noether Symmetries of Bianchi Type II Spacetime Metrics

We classify a class of Bianchi type II spacetimes according to their Noether symmetries. We briefly discuss the conservation laws admitted by these Noether symmetries and classify their possible algebras and determine their structures also.

math-ph↗

arXiv2009

Generalization of the double reduction theory

In a recent work [1, 2] Sjoberg remarked that generalization of the double reduction theory to partial differential equations of higher dimensions is still an open problem. In this note we have attempted to provide this generalization to find invariant solution for a non linear system of qth order partial differential equations with n independent and m dependent variables provided that the non linear system of partial differential equations admits a nontrivial conserved form which has at least one associated symmetry in every reduction. In order to give an application of the procedure we apply it to the nonlinear (2 + 1) wave equation for arbitrary function f (u) and g(u).

math.AP↗