Dr. M. Vijayajayanthi

Teaching

Educational Background

Work Experience

Research

Area of Research Interest

• Optical solitons in birefringent fibres
• Theoretical realization of optical logic gates in fibres
• Harnessing optical solitons to implement quantum information processing
• Electrical solitons in nonlinear transmission lines

Publications

• Kanna, M. Vijayajayanthi, and M. Lakshmanan, Periodic energy switching of bright solitons inmixed coupled nonlinear Schr¨odinger equations with linear self-coupling and cross-coupling terms, Phys. Rev. A 76, 013808 (1-7), 2007.
• Vijayajayanthi, T. Kanna, and M. Lakshmanan, Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schr¨odinger equations, Phys. Rev. A 77, 013820 (1-18), 2008.
• Vijayajayanthi, T. Kanna, and M. Lakshmanan, Mixed-type soliton solutions of multicomponent coupled nonlinear Schroedinger equations with defocusing nonlinearity, Proceedings of Recent Developments in Nonlinear Dynamics, Narosa Publication, New Delhi, 125-128, 2009.
• Kanna, M. Vijayajayanthi, K. Sakkaravarthi, and M. Lakshmanan, Higher dimensional bright solitons and their collisions in multicomponent long waveshort wave system, J. Phys. A: Math. Theor. 42, 115103 (1-20), 2009.
• Vijayajayanthi, T. Kanna, and M. Lakshmanan, Multisoliton solutions and energy sharing collisions in coupled nonlinear Schr¨odinger equations with focusing, defocusing and mixed type nonlinearities Eur. Phys. J. Special Topics 173, 57-80, 2009.
• Vijayajayanthi, T. Kanna, and M. Lakshmanan, Bright solitons and their collisions in low birefringent fibers, Proceedings of National Conference on Nonlinear Systems and Dynamics, online, NCNSD 2009.
• Kanna, M. Vijayajayanthi, and M. Lakshmanan, Coherently coupled bright solitons and their collisions, J. Phys. A: Math. Theor. 43, 434018 (1-14), 2010.
• Kanna, M. Vijayajayanthi, and M. Lakshmanan, Mixed solitons in a (2+1) dimensional multicomponent long wave-short wave system, Phys. Rev. E 90, 042901 (1-15), 2014.
• Sakkaravarthi, T. Kanna, M. Vijayajayanthi, and M. Lakshmanan, Multicomponent long wave-short wave resonance interaction system: Bright solitons, energy-sharing collisions and resonant solitons, Phys. Rev. E 90, 052912 (113), 2014.
• Kanna, K. Sakkaravarthi, M. Vijayajayanthi, and M. Lakshmanan, Dynamics of solitons in multicomponent long wave-short wave resonance interaction system, Pramana J. Phys. 84, 327-338, 2014.
• Kanna, K. Sakkaravarthi, M. Vijayajayanthi, Novel energy sharing collisions of multicomponent solitons, Pramana J. Phys. 85, 881-897, 2015.
• Vijayajayanthi, T. Kanna, M. Lakshmanan, K. Murali, Explicit construction of single input-single output logic gates from three soliton solution of Manakov system, Commun. Nonlinear Sci. Numer. Simulat. 36, 391-401, 2016.
• Vijila, M. Vijayajayanthi, T. Kanna, and K. Murali, Bright-Dark soliton complexes in 3-coupled nonlinear Schroedinger equations with defocusing nonlinearity, Proceedings of International Conference on Advances in Biological, Chemical and Physical Sciences, 189-193, ISBN: 978-93-80622-24-8, 2017.
• Vijayajayanthi, T. Kanna, K. Murali, and M. Lakshmanan, Harnessing energy-sharing collisions of Manakov solitons to implement universal NOR and OR logic gates, Phys. Rev. E 97, 060201(R), 2018.

National Conferences / Seminars / Workshops

• Participated in seminar on Recent Developments in Physics held at School of Physics, Bharathidasan University on 21-22, November 2005
• Participated in seminar on Bifurcation, Chaos and Synchronization held at School of Physics, Bharathidasan University on 6-8, December 2005.
• Participated in the second SERC school on Integrable systems held at Pondicherry University, Pondicherry on 4-24, January 2006.
• Participated in the third SERC school on Nonlinear Dynamics and Turbulence held at Indian Association for Cultivation of Sciences, Kolkatta during 3-22, December 2007.
• Presented poster in the third National Conference on Nonlinear Systems and Dynamics held at Physical Research Laboratory, Ahmedabad on 3-5, January 2008.
• Participated in the International Conference on Recent Developments in Nonlinear Dynamics, Tiruchirappalli on 13-16, February 2008.
• Participated in the workshop on Integrable Systems, Indian Institute of Science, Bangalore on 18-29, February 2008.
• Participated in National seminar on Advances in Nonlinear systems, Visva-Bharati, Santiniketan during 21-23, February 2009.
• Participated in the eighth International Conference on Nonlinear Science (Dynamic Days Asia-Pacific 08), Indian Institute of Technology Madras and Institute ofMathematical Sciences, Chennai, on 21-24 July, 2014.
• Presented paper in National Conference on Advances in Material Science and Nonlinear Science, B. S. Abdur Rahman University, on 24 & 25 February, 2016.

Details of Completed Research Projects

SERB Project

Project Title: Construction of optical logic gates using soliton collisions and the study of electrical solitons in nonlinear transmission lines.

Total Cost: Rs. 32. 44 Lakhs

Duration  : 3 years (20-06-2016 to 19-06-2019)

Scheme  : Start-up Research Grant (Young Scientist Scheme)

Host Institution:  B. S. Abdur Rahman Crescent Institute of Science Technology

UGC Project

Project Title : Classical and quantum computational aspects of optical soliton collisions and comparison with chaos based computation.

Total Cost:  Rs. 18. 42 Lakhs

Duration : 3 years (26-09-2012 to 25-09-2015)

Scheme: Dr. D. S. Kothari Postdoctoral Fellowship

Host Institution: Anna University, Chennai

Professional Recognition, Awards and Fellowships

• Recipient of Young Scientist award from Science and Engineering Research Board, New Delhi for the period of June 2016 – June 2019.
• Awardee of Dr. D. S. Kothari postdoctoral fellowship from University Grants Commission, New Delhi for the period of September 2012 – September 2015.
• Senior research fellow was awarded from Department of Science and Technology for the period of February 2009 – May 2010.
• Junior research fellow was awarded from Department of Science and Technology for the period of January 2006 – January 2009.
• Summer research fellow in Centre for Nonlinear Dynamics, Bharathidasan University from June 2005 – December, 2005.
• Awardee of Dr. P. K. Ponnuswamy Endowment Gold Medal from Governor of Tamilnadu at Bharathidasan University for holding university first rank in M.Sc. degree during the period 2003 – 2005.
• Received cash award in the form of Government Endowment Scholarship and National Saving Certificate for securing highest mark during the course of M.Sc. Physics at Bharathidasan University for the year 2003 – 2004 & 2004- 2005, respectively.