Research Publications in peer-reviewed international journals
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Phys. Rev. Lett. 86 (2001) 5043 (4 pages).
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Eur. Phys. J. B 29 (2002) 249 (6 pages).
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Phys. Rev. E 67 (2003) 046617 (25 pages).
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Phys. Rev. E 73 (2006) 026604 (15 pages).
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J. Opt. Soc. Am. B, 24 (2007) 592 (14 pages).
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Phys. Rev. A 76 (2007) 013808 (7 pages).
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Phys. Rev.A,77 (2008) 013820 (18 pages).
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J. Phys. A: Math. Theor. 42 (2009) 115103 (20 pages).
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Eur. Phys. J. Special topics, 173 (2009) 57 (24 pages).
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J. Math. Phys. 50 (2009) 113520 (11 pages).
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J.Phys. A: Math. Theor, 43 (2010) 434018 (14 pages) (Special Issue: Integrable Systems).
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J.Phys. A: Math. Theor, 44 (2011) 285211 (30 pages).
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J. Math. Phys. 54 (2013) 013701 (14 pages) (Published as a cover article).
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Eur. Phys. J. Special topics 222 (2013) 641 (13 pages).
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J.Phys.A: Math. Theor. 46 (2013) 475201 (26 pages).
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Phys. Rev. E 88 (2013) 062921 (14 pages).
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Phys. Lett. A 388 (2014) 158 (13 pages).
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J. Math. Phys. (submitted)
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- Shape changing collisions of coupled bright solitons in birefringent optical fibers
M. Lakshmanan, T. Kanna, and R. Radhakrishnan
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- Exact soliton solutions, shape changing collisions and partially coherent solitons in coupled nonlinear Schrödinger equations
Phys. Rev. Lett. 86 (2001) 5043 (4 pages).
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- Effect of phase shift in shape changing collision of solitons in coupled nonlinear Schrödinger equations
Eur. Phys. J. B 29 (2002) 249 (6 pages).
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- Exact soliton solutions of coupled nonlinear Schrödinger equations: Shape changing collisions, logic gates and partially coherent solitons
Phys. Rev. E 67 (2003) 046617 (25 pages).
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- On the solutions of multi-component nonlinear Schrödinger equations
T. Kanna, E.Tsoy and N. Akhmediev
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- Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations,
Phys. Rev. E 73 (2006) 026604 (15 pages).
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- Energy-exchange collision of the Manakov vector solitons under strong environmental perturbations
J. Opt. Soc. Am. B, 24 (2007) 592 (14 pages).
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- Periodic energy switching of bright solitons in mixed coupled nonlinear Schrödinger equations with linear self-coupling and cross-coupling terms
Phys. Rev. A 76 (2007) 013808 (7 pages).
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- Bright-dark solitons and their collisions in mixed coupled nonlinear Schrödinger equations
Phys. Rev.A,77 (2008) 013820 (18 pages).
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- Higher dimensional bright solitons and their collisions in multi-component long wave-short wave system
J. Phys. A: Math. Theor. 42 (2009) 115103 (20 pages).
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- Multisoliton solutions and energy sharing collisions in coupled nonlinear Schrödinger equations with focusing defocusing and mixed type nonlinearities
Eur. Phys. J. Special topics, 173 (2009) 57 (24 pages).
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- Painlevé singularity structure analysis of three-component Gross-Pitaevskii type equations
J. Math. Phys. 50 (2009) 113520 (11 pages).
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- Coherently coupled bright optical solitons and their collisions
J.Phys. A: Math. Theor, 43 (2010) 434018 (14 pages) (Special Issue: Integrable Systems).
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- Multicomponent coherently coupled and incoherently coupled solitons and their collisions
J.Phys. A: Math. Theor, 44 (2011) 285211 (30 pages).
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- Bright solitons coherently coupled nonlinear Schrödinger equations with alternate signs of nonlinearities
J. Math. Phys. 54 (2013) 013701 (14 pages) (Published as a cover article).
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- Dynamics of bright soliton bound states in (2+1) dimensional multicomponent long wave-short wave resonance interaction system
Eur. Phys. J. Special topics 222 (2013) 641 (13 pages).
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- Non-autonomous dark-bright solitons and Rabi oscillations in multi-component Bose-Einstein Condensates
J.Phys.A: Math. Theor. 46 (2013) 475201 (26 pages).
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- General Multicomponent Yajima-Oikawa System: Painlevé Analysis, Soliton Solutions and Energy Sharing Collisions
Phys. Rev. E 88 (2013) 062921 (14 pages).
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- Non-autonomous bright–dark solitons and Rabi oscillations in multi-component Bose–Einstein condensates
T. Kanna, R. Babu Mareeswaran, F. Tsitoura, H.E. Nistazakis, D.J. Frantzeskakis
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- Non-autonomous bright matter wave solitons in spinor Bose-Einstein condensates
Phys. Lett. A 388 (2014) 158 (13 pages).
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- Mixed (2+1) dimensional solitons in multicomponent long wave short wave system
J. Math. Phys. (submitted)
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Research Publications in peer-reviewed national journals
Pramana J. Phys. 57 (2001) 885 (32 pages). (Special issue: Optical Solitons)
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- Shape changing collisions of optical solitons, universal logic gates and partially coherent solitons in coupled nonlinear Schrödinger equations
Pramana J. Phys. 57 (2001) 885 (32 pages). (Special issue: Optical Solitons)
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Publications in conference proceedings
M. Lakshmanan, T. Kanna and P. Palaniyandi, Nonlinear dynamics: From Theory to Technology, Nonlinear Systems, Eds. R. Sahadevan and M. Lakshmanan, (Narosa Publishing House, 2002).
M. Lakshmanan and T. Kanna, Multicomponent higher order bright soliton solutions and shape changing collisions in couple nonlinear Schrödinger equations, Optical Solitons-Theoretical and experimental challenges, Eds.: K. Porsezian and V.C.Kuriakose, pg. 141-164 (Springer Verlag, Berlin 2003).
M. Vijayajayanthi, T. Kanna and M. Lakshmanan, Mixed type soliton solutions of multicomponent coupled nonlinear Schrödinger equations with defocusing nonlinearity, Nonlinear Dynamics, Eds.: M. Daniel and S. Rajasekar, (Narosa Publishing House, 2009).
T. Kanna and M. Lakshmanan, Computing via Optical soliton collisions, National conference on Nonlinear Systems and Dynamics, IIT Kharagpur, 2003.
T. Kanna and K. Sakkaravarthi, Novel double hump solitons in coherently coupled nonlinear Schrödinger equations, National conference on Nonlinear Systems and Dynamics, Bharathidasan University, 2011.
K.Sakkaravarthi and T.Kanna, Soliton Collision Dynamics in the General Coupled Nonlinear Schrödinger System, Heber International Conference on Applications of Mathematics and Statistics (HICAMS 2012), Ed.: P. Mariappan, Excel India Publications, pg. 218–223 (2012).
T. Kanna and K.Sakkaravarthi, Bilinearization of three component Gross-Pitaevskii equations using a non-standard approach and soliton solutions, Proceedings of Sixth International Federation of Nonlinear Analysts Conference 2013, University of Athens, Greece.
M. Lakshmanan, T. Kanna and P. Palaniyandi, Nonlinear dynamics: From Theory to Technology, Nonlinear Systems, Eds. R. Sahadevan and M. Lakshmanan, (Narosa Publishing House, 2002).
M. Lakshmanan and T. Kanna, Multicomponent higher order bright soliton solutions and shape changing collisions in couple nonlinear Schrödinger equations, Optical Solitons-Theoretical and experimental challenges, Eds.: K. Porsezian and V.C.Kuriakose, pg. 141-164 (Springer Verlag, Berlin 2003).
M. Vijayajayanthi, T. Kanna and M. Lakshmanan, Mixed type soliton solutions of multicomponent coupled nonlinear Schrödinger equations with defocusing nonlinearity, Nonlinear Dynamics, Eds.: M. Daniel and S. Rajasekar, (Narosa Publishing House, 2009).
T. Kanna and M. Lakshmanan, Computing via Optical soliton collisions, National conference on Nonlinear Systems and Dynamics, IIT Kharagpur, 2003.
T. Kanna and K. Sakkaravarthi, Novel double hump solitons in coherently coupled nonlinear Schrödinger equations, National conference on Nonlinear Systems and Dynamics, Bharathidasan University, 2011.
K.Sakkaravarthi and T.Kanna, Soliton Collision Dynamics in the General Coupled Nonlinear Schrödinger System, Heber International Conference on Applications of Mathematics and Statistics (HICAMS 2012), Ed.: P. Mariappan, Excel India Publications, pg. 218–223 (2012).
T. Kanna and K.Sakkaravarthi, Bilinearization of three component Gross-Pitaevskii equations using a non-standard approach and soliton solutions, Proceedings of Sixth International Federation of Nonlinear Analysts Conference 2013, University of Athens, Greece.