Faculty Profile

Dr. Sultan Sial

Associate Professor

Department Of Mathematics

Dr Sultan Sial received the MSc. Mathematics degree from Carleton University and the PhD. degree in Applied Mathematics from University of Western Ontario, Canada in 1992 and 1997. Prior to joining LUMS, he has been associated with University of Toronto, University of Western Ontario, Trent University, and Los Alamos National Lab (LANL). Dr Sial also has corporate sector experience; he has been the Vice President (Research) of Heuchera Technologies, and Vogelfrei Analytics. He has several publications, a book and book chapter in leading international journals.

Optical solitons for coupled Fokas-Lenells equation in birefringence fibersModern Physics Letters B2019
Polynomial solution of singular differential equations using Weighted Sobolev gradientsInternational Journal of Computer MathematicsRaza N., Javid A., Sial S., Dur-e-Ahmad M.2019
New combo and dipole solitons in multiple-core couplers with dual dispersionOptik2018
On solitons: the biomolecular nonlinear transmission line models with constant and time variable coefficientsWaves in Random and Complex MediaRaza N., Murtaza I.G., Sial S., Younis M.2018
New exact periodic elliptic wave solutions for extended quantum Zakharov???Kuznetsov equationOptical and Quantum ElectronicsRaza N., Abdullah M., Butt A.R., Murtaza I.G., Sial S.2018
New optical solitons of Tzitze??ca type evolution equations using extended trial approachOptical and Quantum ElectronicsRaza N., Aslam M.R., Sial S.2018
Exact periodic and explicit solutions of higher dimensional equations with fractional temporal evolutionOptik2018
Numerical approximation of time evolution related to Ginzburg-Landau functionals using weighted Sobolev gradientsComputers and Mathematics with Applications2014
Numerical solutions of integro-differential equations using Sobolev gradient methodsInternational Journal of Computational Methods2012
Analytic solutions and conserved quantities of wave equation on torusComputers and Mathematics with ApplicationsJhangeer A., Qureshi M.N., Sial S., Sharif S.2012
Numerical solution of Burgers' equation by the Sobolev gradient methodApplied Mathematics and ComputationRaza N., Sial S., Neuberger J.W.2011
Approximate solutions to Poisson-Boltzmann systems with Sobolev gradientsJournal of Computational PhysicsMajid A., Sial S.2011
Approximating time evolution related to Ginzburg-Landau functionals via Sobolev gradient methods in a finite-element settingJournal of Computational PhysicsRaza N., Sial S., Siddiqi S.2010
Application of Sobolev gradient method to Poisson-Boltzmann systemJournal of Computational PhysicsMajid A., Sial S.2010
Ginzburg-Landau Separation ProblemsLecture Notes in MathematicsSial S.2010
Simulation study of propagation of pulses in optical fiber communication systems using Sobolev gradient and split-step Fourier methodsInternational Journal of Computational MethodsRaza N., Sial S., Siddiqi S.S.2009
Sobolev gradient approach for the time evolution related to energy minimization of Ginzburg-Landau functionalsJournal of Computational PhysicsRaza N., Sial S., Siddiqi S.S.2009
Energy minimization related to the nonlinear Schr??dinger equationJournal of Computational PhysicsRaza N., Sial S., Siddiqi S.S., Lookman T.2009
Recursive form of Sobolev gradient method for ODEs on long intervalsInternational Journal of Computer Mathematics2008
A Sobolev gradient algorithm for minimum energy states of s-wave superconductors - Finite element settingSuperconductor Science and TechnologySial S.2005
Energy minimization using Sobolev gradients: Application to phase separation and orderingJournal of Computational PhysicsSial S., Neuberger J., Lookman T., Saxena A.2003
A gas kinetic method for binary fluids and surfactant systemsPhysica A: Statistical Mechanics and its ApplicationsSial S., Lookman T.1998