Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations
Organizer(s): Chaudry Masood Khalique , Wen-Xiu Ma , Maria Luz Gandarias

Parallel Session 1 :: Wednesday, May 31, 13:30 – 15:30                     CI1013
13:30-14:00	Stephen Anco (Brock University, Canada)  New conserved integrals, invariants, symmetries and Casimirs of radial compressi ble fluid flow in n>1 dimensions

14:00-14:30

Nicoleta V Bila (Fayetteville State University, USA)  Lie Symmetries for Coupled Differential Equations

14:30-15:00

Wen-Xiu Ma (University of South Florida, USA)  Binary Darboux transformation for nonlocal nonlinear Schr\\odinger equations

15:00-15:30

Noreen Akbar (National University of Sciences and Technology, Islamabad, Pakistan, Pakistan)  Heat transfer study of electro kinetically modulated micropolar nanofluid flow for Cu and Ag nanoparticles in a propagating microchannel

Parallel Session 2 :: Wednesday, May 31, 16:00 – 18:30                     CI1013
16:00-16:30	Wen-Xiu Ma (University of South Florida, USA)  Integrable Hamiltonian equations and matrix Lie algebras

16:30-17:00

Igor L Freire (UFSCar, Brazil)  Structural properties of an equation describing pseudospherical surfaces

17:00-17:30

Basetsana P Ntsime (University of South Africa, So Africa)  Finding Lie symmetry analysis of a system of equations describing the tumour invasion model

17:30-18:00

Bilal Habib (National institute of Health, Pakistan)  Novel approach of Nanofluids in Medical science

18:00-18:30

Adnan Aslam (National University of Sciences and Technology (NUST), Pakistan)  Invariants for a system of two linear hyperbolic equations by complex methods

Parallel Session 3 :: Thursday, June 1, 08:00 – 09:30                     CI1013
8:00-8:30	Chaudry Masood Khalique (North-West University, So Africa)  A study of a generalized nonlinear advection-diffusion equation

8:30-9:00

Priscila da Silva (Universidade Federal do ABC, Brazil)  Conservation laws and explicit solutions of the Yajima-Oikawa-Newell system

9:00-9:30

Muhammad I Hameed (University of South carolina, USA)  Instability and pinch-off of a slender fluid thread with variable surface tension.

Parallel Session 4 :: Thursday, June 1, 14:00 – 16:00                     CI1013
14:30-15:00	Letlhogonolo L Moleleki (North West University, So Africa)  A study of (3+1)-dimensional generalized KP-Boussinesq equation

15:00-15:30

Sivenathi S Mbusi (North-West University, So Africa)  Noether Symmetries of a Generalized Coupled Lane-Emden-Klein-Gordon-Fock System with Central Symmetry

Parallel Session 5 :: Thursday, June 1, 16:30 – 19:00                     CI1013
16:30-17:00	Javed Siddique (Department of Mathematics, Pennsylvania State University, York Campus, USA)  Capillarity and Partially Saturated Porous Material Dynamics

17:00-17:30

Zakaria Idriss Z Ali (University of South Africa, So Africa)  A Front Fixing Crank-Nicolson Finite Deference for the American Put Options Model

17:30-18:00

Oke O Adeyemo (North-West University, So Africa)  Soliton solutions, travelling wave solutions and conserved quantities for a three-dimensional soliton equation in plasma physics

18:00-18:30

Maria Luz Gandarias (University of Cadiz, Spain)  Finding symmetry-invariant solutions of partial differential equations by application of a multi-reduction conservation law method

18:30-19:00

Sameerah Jamal (University of the Witwatersrand, So Africa)  Partial Differential Equations: The Heat and Burgers` Equation

Parallel Session 6 :: Friday, June 2, 08:00 – 10:00                     CI1013
8:00-8:30	Karabo K Plaatjie (North-West University, So Africa)  A study of generalized (2+1)-dimensional equal-width partial differential equation of engineering

8:30-9:00

jean yves semegni (North-West University, So Africa)  Analysis of a dynamical system describing the evolution of HIV/AIDS in a population