**Dr.T.Mathanaranjan**

B.Sc. [Hons] (Jaffna), Ph.D(Peradeniya).

- Senior Lecturer in Mathematics
- mathanaranjan@gmail.com
- 0776093078

Ph.D. in Mathematics (University of Peradeniya).

B.Sc. (Hons) in Mathematics (University of Jaffna, Sri Lanka).

- Member of the Science Faculty Research Committee (SFRC) – 2020.
- Academic Counselor, Faculty of Science – 2020.
- Student Counselor, Faculty of Science -2020.
- Secretary of the Jaffna Science Association (JSA) Section A -2020.
- Member of the faculty level Curriculum Development, Revision and Monitoring Committee (CDRMC) – 2019.
- Member of Editorial board of “Jaffna University International Research Conference (JUSE)”– 2016.

- Association of Scientists, Developers and Faculties (ASDF) awards for the Best Scientific Researcher–2014.
**Erasmus Mundus Scholarship**for student exchange programme 2013/2014- City, University of London.- Merit NRC awards for Scientific Publication 2013.
- Presidents awards for Scientific Publication 2012.
- Sir ArunachalamMahadheva Memorial Prize, Best performance in Honors Degree Examination in Mathematics, University of Jaffna, Sri Lanka (2008).

Coordinator of Special degree programme in Mathematics, Department of Mathematics and Statistics, University of Jaffna, 2019.

Seminar on Combined mathematics for G.C.E (A/L) Teacher which was conducted by the Provincial department of Education, North Province, 2019.

**Undergraduate Teaching (Department of Mathematics & Statistics).**

- Ordinary differential Equations.
- Mathematical Methods.
- Linear Programming.
- Classical Mechanics.
- Complex Analysis.
- Continuum Mechanics.
- Quantum Mechanics.

**Undergraduate Teaching (Department of Computer Science).**

- Mathematics for Computing II.
- Mathematics for Computing III.

**Research publications in refereed journals.**

- T. Mathanaranjan, Soliton Solutions of Deformed Nonlinear Schrödinger Equations Using Ansatz Method.
**Int. J. Appl. Comput. Math 7, 159 (2021).** - T.Mathanaranjan, D.Vijayakumar
*Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations.***Journal of Applied Mathematics and Physics 9 (02), 260 (2021).** - T.Mathanaranjan,
*Solitary wave solutions of the Camassa-Holm-Nonlinear Schrdinger Equation*,**Results in Physics, 19, 103549 (2020).** - T.Mathanaranjan, K. Himalini,
*Analytical solutions of the time-fractional non-linear**Schrodinger equation with zero and non zero trapping potential through the Sumudu Decom-position method,***Sci. Univ. Kelaniya 12, 21-33 (2019).** S.Dey, A.Fring, T.Mathanaranjan,

*Spontaneous PT -symmetry breaking for systems of noncommutative Euclidean Lie algebraic type*,**Int. J. Theor. Phys. 54 4027-4033 (2015).**A.Nanayakkara, T.Mathanaranjan,

*Effects of complex parameters on classical trajectories of Hamiltonian systems*,**Pramana: 82(6), 973-983 (2014).**S. Dey, A. Fring and T. Mathanaranjan,

*Non-Hermitian systems of Euclidean Lie algebraic type with real energy spectra,***Ann. Phys. 346, 28-41 (2014).**T.Mathanaranjan, A.Nanayakkara ,

*Extending the range of validity for Asymptotic Energy Expansion method by Pade approximation*,**Reports on Mathematical Physics 73 (3), 383-392 (2014).**A Nanayakkara, T Mathanaranjan,

*Explicit energy expansion for general odd-degree polynomial potentials,***Physica Scripta 88 (5), 055004 (2013).**A.Nanayakkara, T.Mathanaranjan,

*Isospectral hermitian counterpart of complex nonhermitian Hamiltonian P^2+gx^4+ax^2*.**Canadian Journal of Physics 91 (8), 599-603 (2013).**A.Nanayakkara, T.Mathanaranjan,

*Equivalent Hermitian Hamiltonians for some non-Hermitian Hamiltonians***Physical Review A 86 (2), 022106 (2012).**

**Peer reviewed Presentations at National/International Conferences/Symposia.**

**Published as full papers.**

- Mathanaranjan.T, Dayalini.V,
*“The First Integral Method to the Improved Perturbed Nonlinear Schrodinger’s Equation with the Dual power Nonlionearty*”,**Proceedings Applied Science, Business & Industrial Research Symposium 2019, Wayamba University of Sri Lanka, pg.243-248.** - K.Himalini , M.T.F.Hasna, T.Mathanaranjan ,
*“Solution for Space-time fractional non-linear Schrodinger equation by Laplace decomposition method”,***Proceedings of the 4th Jaffna University International Research Conference JUICe 2018 Pg 584-587.** T.Mathanaranjan, K.Himalini,

*“Non-Hermitian Hamiltonians of Sl(2,₵) Lie algebraic type and similarity transformations”,***Proceeding of the International Conference on Computational Simulation, University of Colombo, ICCMS-2017, Pg. 44-48.**

**Published in abstract form.**

- Dayalini.V Mathanaranjan.T,
*“The exact solutions to the generalized derivative nonlinear Scrodinger’s equation by using (**𝑮**′/**𝑮**)-expansion method”,***Proceedings of the Postgraduate Institute of Science Research Congress, Sri Lanka: 06 th Nov. 2020.** - Mathanaranjan.T,Thushanthani.R
*, “Sumudu decomposition method for solving the “Camassa Holm-Nonlinear Schrodinger Equation”,***Proceedings of the 7th International Science and Technology Conference 2020.University of Ruhunu. pg 65.** - Mathanaranjan.T, Dayalini.V,
*“Exact travelling wave solutions of nonlinear Schrodinger’s Equation with dual power nonlinearty”,***Proceedings of the International Conference on Mathematics and Mathematics Education 2019. University of Peradiniya.Pg.25.** - Mathanaranjan.T,Thushanthani.R, Himalini.K.
*“An analytical approach to the Camassa Holm-nonlinear Schrodinger type equations by using the Laplace decomposition method”,***Proceedings of the PGIS Research Congress 2019, University of Peradeniya.pg.37.** *T.Mathanaranjan, K.Himalini, “Approximate solutions of time fractional Fornberg-Whitham type equations by using the Laplace decomposition method”*,**Proceeding of the 5**^{th}Ruhuna International Science and Technology Conference RISTCON 2018, Pg.58.- T.Mathanaranjan, K.Himalini
*, “Approximate analytical solution to the time-fractional non-linear Schrodinger equation through the sumudu decomposition method”*,**Proceeding of the International Research Symposium on Pure and Applied science, University of Kelaniya, 2017, Pg .87.** - T.Mathanaranjan, K.Himalini, M.T.F.Hasna,
*“The Laplace Adomian decomposition method for solving the non-linear time-fractional Fornberg-whitham equation”*,**Proceedings of the****Peradeniya University International Research Sessions IPURSE-2017,Pg. 379.** - T.Mathanaranjan, K.Himalini,
*“Adomian decomposition method for time-fractional non-linear Schrodinger equation with zero and non- zero trapping potential”*,**Proceedings of the 2nd International Research Conference Trincomalee campus Eastern University, TRInCo – 2017, Pg. 53.** - T Mathanaranjan, E.P.L.S. Wickramawardana
*, “Lie algebraic approach to quasi exactly solvable complex PT-symmetric periodic potential”,***Proceedings of the PGIS Research Congress 3, 51 (2016).** - T. Mathanaranjan, A .Nanayakkara, S P.C, Perera, ‘Euclidean Lie algebra and the associated non-Hermitian Hamiltonians with an anti-linear symmetry”,
**Proceedings PGIS Research Congress 2, 38 (2015).** - T. Mathanaranjan, A .Nanayakkara, S P.C, Perera, “Improving the accuracy of eigenvalues determined by Asymptotic Energy Expansion method”,
**Proceedings of the PGIS Research Congress 1, 101 (2014).**

**Presented Conference Papers.**

- T.Mathanaranjan, K.Himalini,
*“Adomian decomposition method for time-fractional non-linear Schrodinger equation with zero and non- zero trapping potential”,***Proceedings of the 2nd International Research Conference Trincomalee campus Eastern University, TRInCo – 2017, Pg. 53.** - T.Mathanaranjan, K.Himalini
*, “Non-Hermitian Hamiltonians of Sl(2,₵) Lie algebraic type and similarity transformations”,***Proceeding of the International Conference on Computational Simulation, University of Colombo, ICCMS-2017, Pg. 44-48.**