Department of Mathematical Sciences
Prof AR Adem
| College of Science, Engineering and Technology | |
|---|---|
| School of Science | |
| Department: Mathematical Sciences | |
| Professor | |
| Tel: | 0116709096 |
| E-mail: | ademar@unisa.ac.za |
Qualifications
- PhD Applied Mathematics, 2014, North-West University,
- MSc Applied Mathematics, 2011, North-West University,
- BSc (Honours) in Applied Mathematics, 2009, North-West University,
- BSc in Applied Mathematics and Physics, 2008, North-West University.
Currently teaching
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Numerical Methods,
- Differential Equations
Fields of academic interests
- Symmetry Analysis of Differential Equations
Field of Specialisation
- Symmetry Analysis of Differential Equations
Journal articles
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B Muatjetjeja, AR Adem, SO Mbusi, Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation Journal of Applied Analysis 25 (2) 211-217 (2019)
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SO Mbusi, B Muatjetjeja, AR Adem, Lie Group Classification of a Generalized Coupled Lane-Emden-Klein-Gordon-Fock System with Central Symmetry, Nonlinear Dynamics and Systems Theory 19 (1), 186–192 (2019)
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AR Adem, On the solutions and conservation laws of a two-dimensional Korteweg de Vries model: Multiple exp-function method, Journal of Applied Analysis 24 (1), 27-33 (2018)
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B Muatjetjeja, AR Adem, Rosenau-KdV equation coupling with the Ros.enau-RLW equation: conservation laws and exact solutions, International Journal of Nonlinear Sciences and Numerical Simulation 18 (6) 451-456 (2018)
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AR Adem, Symbolic computation on exact solutions of a coupled Kadomtsev–Petviashvili equation: Lie symmetry analysis and extended tanh method Computers & Mathematics with Applications 74 (8), 1897-1902 (2017)
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AR Adem, A (2+ 1)-dimensional Korteweg–de Vries type equation in water waves: Lie symmetry analysis; multiple exp-function method; conservation laws, International Journal of Modern Physics B 30 (28n29), 1640001 (2016)
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AR Adem, The generalized (1+ 1)-dimensional and (2+ 1)-dimensional Ito equations: multiple exp-function algorithm and multiple wave solutions Computers & Mathematics with Applications 71 (6), 1248-1258 (2016)
Paper presentations
- AR Adem. On the solutions of a coupled Korteweg-de Vries system. The joint international congress of the American and South African Mathematical Societies, Port Elizabeth, South Africa, 29 November - 03 December 2011.
- AR Adem. Exact solutions and conservation laws of a coupled variable-coefficient modified Korteweg-de Vries system,. Symmetries, Differential Equations and Applications: Galois Bicentenary (SDEA2012) 15-23 January 2012, University of the Witwatersrand, Johannesburg, South Africa.
- AR Adem, Exact solutions of a two-dimensional integrable generalization of the Sawada-Kotera equation. International Conference on Engineering and Applied Science (ICEAS) 2012, 24-27 July 2012 in Beijing, China.
- AR Adem. Travelling wave solutions and conservation laws of a two-dimensional integrable generalization of the Kaup-Kupershmidt equation. 55th Annual Congress of the South African Mathematical Society (SAMS 2012), Stellenbosch University, 30 October -2 November 2012.
- AR Adem. Exact solutions and conservation laws of a coupled variable-coefficient modified Korteweg-de Vries system. International Conference on Applied Analysis and Mathematical Modelling, 2-5 June 2013, Istanbul, Turkey.
- AR Adem. Solutions and conservation laws of a coupled Kadomtsev-Petviashvili system. New Zealand Mathematical Society:2013 Colloquium, 3-5 December 2013, Tauranga, New Zealand.
- AR Adem. Exact Solutions and Conservation Laws of A (2+1)-Dimensional and A (3+1)-Dimensional B-type Kadomtsev–Petviashvili Equations. International Conference and Workshop on Mathematical Analysis 2014 (ICWOMA2014), 27-30 May 2014, Putrajaya, Malaysia.
- AR Adem. Lie symmetry analysis and conservation laws of a (2+1) dimensional Haragus-Courcelle-Ilichev model. The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications July 07 - July 11, 2014, Madrid, Spain.
- AR Adem. Solutions and conservation laws of a coupled Korteweg-de Vries modified Korteweg-de Vries system. 57th Annual Congress of the South African Mathematical Society (SAMS 2014), University of South Africa, 29 October -31 October 2014.
- AR Adem. Solutions and conservation laws of a coupled Korteweg-de Vries modified Korteweg-de Vries system. The 33rd Conference of the Southern Africa Mathematical Sciences Association November 24 - 28, 2014, Victoria Falls, Zimbabwe.
- AR Adem. Multiple wave solutions and conservation laws of the DJKM equation via symbolic computation. The 3rd International Workshop on Nonlinear and Modern Mathematical Physics, AIMS, Cape Town, South Africa, April 9 - 11, 2015.
- AR Adem. Travelling wave solutions of the Majda-Biello system. The 13th International Conference on Scientific Computing (CSC'15), Las Vegas, Nevada, USA July 27 - 30, 2015.
- AR Adem. Multiple wave solutions and conservation laws of the DJKM equation via symbolic computation. The International Congress on Industrial and Applied Mathematics (ICIAM2015), Beijing, China, August 10 - 14, 2015.
- AR Adem. Multiple wave solutions and conservation laws of the DJKM equation via symbolic computation. The 34th Conference of the Southern Africa Mathematical Sciences Association November 23 - 27, 2015, Windhoek, Namibia.
- AR Adem. Symbolic Computation of Conservation Laws and Exact Solutions of a Coupled Variable-Coefficient Modi-fied Korteweg-De Vries System. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications July 07 - July 11, 2016, Orlando, Florida, USA.
- AR Adem. Multiple wave solutions and conservation laws of the DJKM equation via symbolic computation. The 12th World Congress on Computational Mechanics (WCCM XII) and 6th Asia-Pacific Congress on Computational Mechanics (APCOM VI) 24 – 29 July, 2016, Seoul, Republic of Korea.
Professional positions, fellowships & awards
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NRF Masters and Doctoral Scholarship 2009-2013.
- NRF KIC Travel Grant 2015-2017.