2 citations · 9 across the 6 of their papers we have counts for
7 papers
Isometric Embedding and Darboux Integrability
Jeanne Clelland, Thomas Ivey, Naghmana Tehseen +1
Given a smooth 2-dimensional Riemannian or pseudo-Riemannian manifold and an ambient 3-dimensional Riemannian or pseudo-Riemannian manifold $(N, \boldsymbol{h…
Symmetry Reduction, Contact Geometry and Nonlinear Trajectory Planning
Jose De Dona, Naghmana Tehseen, Peter J Vassiliou
We study control systems invariant under a Lie group with application to the problem of nonlinear trajectory planning. A theory of symmetry reduction of exterior differential syste…
Evolution equations: Frobenius integrability, conservation laws and travelling waves
Geoff Prince, Naghmana Tehseen
We give new results concerning the Frobenius integrability and solution of evolution equations admitting travelling wave solutions. In particular, we give a powerful result which e…
Explicit solutions of PDE via Vessiot theory and solvable structures
Naghmana Tehseen
We consider the problem of computing the integrable sub-distributions of the non-integrable Vessiot distribution of multi-dimensional second order partial differential equations (P…
Integration of PDEs by differential geometric means
Naghmana Tehseen, Geoff Prince
We use Vessiot theory and exterior calculus to solve partial differential equations(PDEs) of the type uyy = F(x, y,u,ux,uy,uxx,uxy) and associated evolution equations. These equati…
Conformal Ricci and Matter Collineations for Two Perfect Fluids
M. Sharif, Naghmana Tehseen
Conformal Ricci and conformal matter collineations for the combination of two perfect fluids in General Relativity are investigated. We study the existence of timelike and spacelik…