Research Articles Published in the Peer-reviewed International Journals
K. Sakkaravarthi - Ph.D. Thesis
Multicomponent Solitons and their Collisions in Certain Physically Interesting Integrable Nonlinear Dynamical Systems
(Supervisor: Dr. T. Kanna)
Bharathidasan University, Tiruchirappalli, India
(Research Centre: Bishop Heber College)
Joined Ph.D. (pre-registration): 15 September 2009
Ph.D. Registration Initiated: 27 July 2010
Ph.D. Registration Confirmed: 21 December 2010 (01 January 2011)
Thesis Submission to university: 28 December 2015
Defence at public viva-voce: 17 April 2017
Degree awarded at convocation: 21 February 2018
(Send an email to get full version of the thesis)
* Corresponding author(s)
25. Deformation of Optical Solitons in a Variable Coefficient Nonlinear Schrödinger Equation with Three Distinct PT-Symmetric Potentials
K. Manikandan, K. Sakkaravarthi*, J. B. Sudharsan, D. Aravinthan
Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (2023) 063132
DOI: 10.1063/5.0145283
Preprint PDF: arXiv:
K. Manikandan, K. Sakkaravarthi*, J. B. Sudharsan, D. Aravinthan
Chaos: An Interdisciplinary Journal of Nonlinear Science 33 (2023) 063132
DOI: 10.1063/5.0145283
Preprint PDF: arXiv:
24. Exploring the Dynamics of Nonlocal Nonlinear Waves: Analytical Insights into the Extended Kadomtsev-Petviashvili Model
Karuppaiya Sakkaravarthi, Sudhir Singh, Natanael Karjanto*
Frontiers in Physics 11 (2023) 1168830
DOI: 10.3389/fphy.2023.1168830
Preprint PDF: arXiv: 2304.05717
Karuppaiya Sakkaravarthi, Sudhir Singh, Natanael Karjanto*
Frontiers in Physics 11 (2023) 1168830
DOI: 10.3389/fphy.2023.1168830
Preprint PDF: arXiv: 2304.05717
23. Bright Matter-Wave Bound Soliton Molecules in Spin-1 Bose-Einstein Condensates with Non-autonomous Nonlinearities
K. Sakkaravarthi*, R. Babu Mareeswaran and T. Kanna
Physica D: Nonlinear Phenomena 448 (2023) 133694.
DOI: 10.1016/j.physd.2023.133694
Preprint PDF: arXiv 2304.05717
K. Sakkaravarthi*, R. Babu Mareeswaran and T. Kanna
Physica D: Nonlinear Phenomena 448 (2023) 133694.
DOI: 10.1016/j.physd.2023.133694
Preprint PDF: arXiv 2304.05717
22. (Short Communication)
Lump and Soliton on Certain Spatially-varying Backgrounds for an Integrable (3+1) Dimensional Fifth-order Nonlinear Oceanic Wave Model
Sudhir Singh, K. Sakkaravarthi*, K. Murugesan
Chaos Solitons & Fractals 167 (2023) 113058.
DOI: 10.1016/j.chaos.2022.113058
Preprint PDF: arXiv.2302.00614
Lump and Soliton on Certain Spatially-varying Backgrounds for an Integrable (3+1) Dimensional Fifth-order Nonlinear Oceanic Wave Model
Sudhir Singh, K. Sakkaravarthi*, K. Murugesan
Chaos Solitons & Fractals 167 (2023) 113058.
DOI: 10.1016/j.chaos.2022.113058
Preprint PDF: arXiv.2302.00614
21. Higher-order Optical Rogue Waves in Spatially Inhomogeneous Multimode Fiber
K. Sakkaravarthi, T. Kanna*, and R. Babu Mareeswaran
Physica D: Nonlinear Phenomena 435 (2022) 133285.
DOI: 10.1016/j.physd.2022.133285
Preprint PDF: arXiv:
K. Sakkaravarthi, T. Kanna*, and R. Babu Mareeswaran
Physica D: Nonlinear Phenomena 435 (2022) 133285.
DOI: 10.1016/j.physd.2022.133285
Preprint PDF: arXiv:
20. Painlevé Analysis and Higher-Order Rogue Waves of a Generalized (3+1)-dimensional Shallow Water Wave Equation
Sudhir Singh, K. Sakkaravarthi*, T. Tamizhmani, K. Murugesan
Physica Scripta 97 (2022) 055204.
DOI: 10.1088/1402-4896/ac5f90
Preprint PDF: arXiv 2104.06111
Sudhir Singh, K. Sakkaravarthi*, T. Tamizhmani, K. Murugesan
Physica Scripta 97 (2022) 055204.
DOI: 10.1088/1402-4896/ac5f90
Preprint PDF: arXiv 2104.06111
19. (Short Communication)
Localized Nonlinear Waves on Spatio-Temporally Controllable Backgrounds for (3+1)-Dimensional Kadomtsev-Petviashvili-Boussinesq Model
Sudhir Singh, K. Sakkaravarthi*, K. Murugesan
Chaos Solitons & Fractals 155 (2022) 111652.
DOI: 10.1016/j.chaos.2021.111652
Preprint PDF: arXiv 2203.03862
Localized Nonlinear Waves on Spatio-Temporally Controllable Backgrounds for (3+1)-Dimensional Kadomtsev-Petviashvili-Boussinesq Model
Sudhir Singh, K. Sakkaravarthi*, K. Murugesan
Chaos Solitons & Fractals 155 (2022) 111652.
DOI: 10.1016/j.chaos.2021.111652
Preprint PDF: arXiv 2203.03862
18. Multiple double-pole bright-bright and bright-dark solitons and energy-exchanging collision in the M-component nonlinear Schrödinger equations
Jiguang Rao, T. Kanna, K. Sakkaravarthi, Jingsong He*
Physical Review E 103 (2021) 062214.
DOI: 10.1103/PhysRevE.103.062214
Jiguang Rao, T. Kanna, K. Sakkaravarthi, Jingsong He*
Physical Review E 103 (2021) 062214.
DOI: 10.1103/PhysRevE.103.062214
17. Higher-dimensional localized and periodic wave dynamics in an integrable (2+1)-dimensional deep water oceanic wave model
Sudhir Singh, Abhik Mukherjee, K. Sakkaravarthi*, K. Murugesan
Waves in Random & Complex Media 33 (2023) 78-97.
DOI: 10.1080/17455030.2021.1874621
Preprint PDF: arXiv 2001.06766
Sudhir Singh, Abhik Mukherjee, K. Sakkaravarthi*, K. Murugesan
Waves in Random & Complex Media 33 (2023) 78-97.
DOI: 10.1080/17455030.2021.1874621
Preprint PDF: arXiv 2001.06766
16. Engineering optical rogue waves and breathers in a coupled nonlinear Schrödinger system with four-wave mixing effect
K. Sakkaravarthi*, R. Babu Mareeswaran, T. Kanna*
Physica Scripta 95 (2020) 095202.
DOI: 10.1088/1402-4896/aba664
Preprint PDF: arXiv 2008.06361
K. Sakkaravarthi*, R. Babu Mareeswaran, T. Kanna*
Physica Scripta 95 (2020) 095202.
DOI: 10.1088/1402-4896/aba664
Preprint PDF: arXiv 2008.06361
15. Manipulation of vector solitons in a system of inhomogeneous coherently coupled nonlinear Schrödinger models with variable nonlinearities
R. Babu Mareeswaran, K. Sakkaravarthi*, T. Kanna*
Journal of Physics A: Mathematical and Theoretical 53 (2020) 415701.
DOI: 10.1088/1751-8121/abae3f
Preprint PDF: arXiv 2008.06357
R. Babu Mareeswaran, K. Sakkaravarthi*, T. Kanna*
Journal of Physics A: Mathematical and Theoretical 53 (2020) 415701.
DOI: 10.1088/1751-8121/abae3f
Preprint PDF: arXiv 2008.06357
14. Benjamin-Ono Equation: Rogue Waves, Generalized Breathers, Soliton Bending, Fission, and Fusion
Sudhir Singh, K. Sakkaravarthi*, K. Murugesan, R. Sakthivel*
The European Physical Journal Plus 135 (2020) 823.
DOI: 10.1140/epjp/s13360-020-00808-8
Preprint PDF: arXiv 2004.09463
Sudhir Singh, K. Sakkaravarthi*, K. Murugesan, R. Sakthivel*
The European Physical Journal Plus 135 (2020) 823.
DOI: 10.1140/epjp/s13360-020-00808-8
Preprint PDF: arXiv 2004.09463
13. Dynamics of Higher-order Bright and Rogue Waves in a New (2+1)-Dimensional Integrable Boussinesq Model
Sudhir Singh, Lakhveer Kaur, K. Sakkaravarthi*, K. Murugesan, R. Sakthivel
Physica Scripta 95 (2020) 115213.
DOI: 10.1088/1402-4896/abbca0
Preprint PDF: arXiv 2004.09460
Sudhir Singh, Lakhveer Kaur, K. Sakkaravarthi*, K. Murugesan, R. Sakthivel
Physica Scripta 95 (2020) 115213.
DOI: 10.1088/1402-4896/abbca0
Preprint PDF: arXiv 2004.09460
12. Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation
K. Sakkaravarthi, A.G. Johnpillai, A. Durga Devi, T. Kanna and M. Lakshmanan*
Applied Mathematics & Compututation 331 (2018) 457-472.
DOI: 10.1016/j.amc.2018.03.011
Preprint PDF: arXiv 1803.01622
K. Sakkaravarthi, A.G. Johnpillai, A. Durga Devi, T. Kanna and M. Lakshmanan*
Applied Mathematics & Compututation 331 (2018) 457-472.
DOI: 10.1016/j.amc.2018.03.011
Preprint PDF: arXiv 1803.01622
11. Protocol of networks using energy sharing collisions of bright solitons
K. Nakamura, T. Kanna* and K. Sakkaravarthi
Pramana: Journal of Physics 85 (2015) 1009 (13 pages).
DOI: 10.1007/s12043-015-1112-7
K. Nakamura, T. Kanna* and K. Sakkaravarthi
Pramana: Journal of Physics 85 (2015) 1009 (13 pages).
DOI: 10.1007/s12043-015-1112-7
10. Novel energy sharing collisions of multicomponent solitons (mini review)
T. Kanna*, K. Sakkaravarthi and M. Vijayajayanthi
Pramana: Journal of Physics 85 (2015) 881 (17 pages).
DOI: 10.1007/s12043-015-1091-8
Preprint PDF: arXiv 1512.01040
T. Kanna*, K. Sakkaravarthi and M. Vijayajayanthi
Pramana: Journal of Physics 85 (2015) 881 (17 pages).
DOI: 10.1007/s12043-015-1091-8
Preprint PDF: arXiv 1512.01040
9. Dynamics of solitons in multicomponent long-wave–short-wave resonance interaction system (1/5: Front Cover Article)
T. Kanna*, K. Sakkaravarthi, M. Vijayajayanthi and M. Lakshmanan
Pramana: Journal of Physics 84 (2015) 327 (12 pages).
DOI: 10.1007/s12043-014-0921-4
Preprint PDF: arXiv 1512.01034
T. Kanna*, K. Sakkaravarthi, M. Vijayajayanthi and M. Lakshmanan
Pramana: Journal of Physics 84 (2015) 327 (12 pages).
DOI: 10.1007/s12043-014-0921-4
Preprint PDF: arXiv 1512.01034
8. Multicomponent long-wave–short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
K. Sakkaravarthi, T. Kanna*, M. Vijayajayanthi, M. Lakshmanan
Physical Review E 90 (2014) 052912 (13 pages).
DOI: 10.1103/PhysRevE.90.052912
Preprint PDF: arXiv 1412.3201
K. Sakkaravarthi, T. Kanna*, M. Vijayajayanthi, M. Lakshmanan
Physical Review E 90 (2014) 052912 (13 pages).
DOI: 10.1103/PhysRevE.90.052912
Preprint PDF: arXiv 1412.3201
7. Non-autonomous bright matter wave solitons in spinor Bose-Einstein condensates
T. Kanna*, R. Babu Mareeswaran, K. Sakkaravarthi
Physics Letters A 378 (2014) 158 (13 pages).
DOI: 10.1016/j.physleta.2013.11.002
Preprint PDF: arXiv 1311.5659
T. Kanna*, R. Babu Mareeswaran, K. Sakkaravarthi
Physics Letters A 378 (2014) 158 (13 pages).
DOI: 10.1016/j.physleta.2013.11.002
Preprint PDF: arXiv 1311.5659
6. General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions and energy sharing collisions
T. Kanna*, K. Sakkaravarthi and K. Tamilselvan
Physical Review E 88 (2013) 062921 (14 pages).
DOI: 10.1103/PhysRevE.88.062921
Preprint PDF: arXiv 1401.1579
T. Kanna*, K. Sakkaravarthi and K. Tamilselvan
Physical Review E 88 (2013) 062921 (14 pages).
DOI: 10.1103/PhysRevE.88.062921
Preprint PDF: arXiv 1401.1579
5. Dynamics of bright soliton bound states in (2+1) dimensional multicomponent long wave-short wave system
K. Sakkaravarthi* and T. Kanna
The European Physical Journal: Special Topics 222 (2013) 641 (13 pages).
DOI: 10.1140/epjst/e2013-01869-0
K. Sakkaravarthi* and T. Kanna
The European Physical Journal: Special Topics 222 (2013) 641 (13 pages).
DOI: 10.1140/epjst/e2013-01869-0
4. Bright solitons in coherently coupled nonlinear Schrödinger equations with alternate signs of nonlinearities
K. Sakkaravarthi and T. Kanna*
Journal of Mathematical Physics 54 (2013) 013701 (14 pages).
(Published as a Featured Cover Article)
DOI: 10.1063/1.4772611
K. Sakkaravarthi and T. Kanna*
Journal of Mathematical Physics 54 (2013) 013701 (14 pages).
(Published as a Featured Cover Article)
DOI: 10.1063/1.4772611
3. Multicomponent coherently coupled and incoherently coupled solitons and their collisions
T. Kanna* and K. Sakkaravarthi
Journal of Physics A: Mathematical & Theoretical 44 (2011) 285211 (30 pages).
DOI: 10.1088/1751-8113/44/28/285211
Preprint PDF: arXiv 1107.4603
T. Kanna* and K. Sakkaravarthi
Journal of Physics A: Mathematical & Theoretical 44 (2011) 285211 (30 pages).
DOI: 10.1088/1751-8113/44/28/285211
Preprint PDF: arXiv 1107.4603
2. Painlevé singularity structure analysis of three component Gross–Pitaevskii type equations
T. Kanna*, K. Sakkaravarthi, C. Senthil Kumar, M. Lakshmanan and M. Wadati
Journal of Mathematical Physics 50 (2009) 113520 (11 pages).
DOI: 10.1063/1.3263936
Preprint PDF: arXiv 0910.4841
T. Kanna*, K. Sakkaravarthi, C. Senthil Kumar, M. Lakshmanan and M. Wadati
Journal of Mathematical Physics 50 (2009) 113520 (11 pages).
DOI: 10.1063/1.3263936
Preprint PDF: arXiv 0910.4841
1. Higher dimensional bright solitons and their collisions in a multicomponent long wave–short wave system
T. Kanna, M. Vijayajayanthi, K. Sakkaravarthi and M. Lakshmanan*
Journal of Physics A: Mathematical & Theoretical 42 (2009) 115103 (20 pages).
DOI: 10.1088/1751-8113/42/11/115103
Preprint PDF: arXiv 0810.2868
T. Kanna, M. Vijayajayanthi, K. Sakkaravarthi and M. Lakshmanan*
Journal of Physics A: Mathematical & Theoretical 42 (2009) 115103 (20 pages).
DOI: 10.1088/1751-8113/42/11/115103
Preprint PDF: arXiv 0810.2868
Research Papers Published in Renowned Conferences:
(* Presenting author)
9. Formation of Bound Soliton Molecules in Multimode Optical Fiber with Temporally Modulated Nonlinearities
K. Sakkaravarthi* and T. Kanna (Poster & Short Paper)
Optica+IEEE Asia Communications and Photonics Conference (ACP 2021)
24-27 October 2021, Shanghai (China).
8. Dynamics and Control of Interaction Waves in Sixth-order Nonlinear Ramani Equation
Sudhir Singh*, K. Sakkaravarthi and K. Murugesan (Full Paper)
AIP Conference Proceedings 2357 (2022) 090007.
National Conference on Advances in Applied Sciences and Mathematics (NCAASM-20)
24-25 September 2020, Chitkara University, Punjab (India).
7. Optical Breathers Induced by Energy-Switching Characteristics in Coherently Coupled Nonlinear Schrödinger System
K. Sakkaravarthi* (Talk & Short Paper)
OSA Advanced Photonics Congress 2020 (OSA-APC)
13 - 16 July 2020, OSA Virtual Conference (USA).
6. Multicomponent soliton bound states of a coherently coupled optical media
K. Sakkaravarthi*, T. Kanna and M. Lakshmanan (Talk & Full Paper)
Optical Society of India - International Conference on Advances in Optics and Photonics (OSI-ICAOP)
Guru Jambeshwar University of Science and Technology, Hisar, Haryana, India, 23 – 26 November 2017.
5. Resonant Solitons and Breathers in Higher Dimension: A Study on Long-wave--Short-wave System
K. Sakkaravarthi*, T. Kanna and M. Lakshmanan (Talk & Short Paper)
The Tenth Conference on Nonlinear Systems and Dynamics (CNSD 2016)
Indian Institute of Science Education and Research, Kolkata, India, 16 – 18 December 2016.
4. Dynamics of dark solitons in multicomponent Yajima-Oikawa system
K. Sakkaravarthi* and T. Kanna (Talk & Full Paper)
10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
The Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain, 7 – 11 July 2014.
3. Bilinearization of three component Gross-Pitaevskii equations using a non-standard approach and soliton solutions
T.Kanna* and K. Sakkaravarthi (Full Paper)
Sixth International Federation of Nonlinear Analysts (IFNA) Conference
University of Athens, Greece, 26 June – 2 July 2012.
2. Soliton collision dynamics in the general-coupled nonlinear Schrödinger system
K. Sakkaravarthi* and T. Kanna (Talk & Full Paper)
Heber International Conference on the Applications of Mathematics and Statistics (HICAMS 2012)
Bishop Heber College, Tiruchirappalli, India, 5 – 7 January 2012.
1. Novel double hump solitons in coherently coupled nonlinear Schrödinger equations
T. Kanna* and K. Sakkaravarthi (Full Paper)
National Conference on Nonlinear Systems and Dynamics (NCNSD 2011)
Bharathidasan University, Tiruchirappalli, India, 27 – 30 January 2011.
9. Formation of Bound Soliton Molecules in Multimode Optical Fiber with Temporally Modulated Nonlinearities
K. Sakkaravarthi* and T. Kanna (Poster & Short Paper)
Optica+IEEE Asia Communications and Photonics Conference (ACP 2021)
24-27 October 2021, Shanghai (China).
8. Dynamics and Control of Interaction Waves in Sixth-order Nonlinear Ramani Equation
Sudhir Singh*, K. Sakkaravarthi and K. Murugesan (Full Paper)
AIP Conference Proceedings 2357 (2022) 090007.
National Conference on Advances in Applied Sciences and Mathematics (NCAASM-20)
24-25 September 2020, Chitkara University, Punjab (India).
7. Optical Breathers Induced by Energy-Switching Characteristics in Coherently Coupled Nonlinear Schrödinger System
K. Sakkaravarthi* (Talk & Short Paper)
OSA Advanced Photonics Congress 2020 (OSA-APC)
13 - 16 July 2020, OSA Virtual Conference (USA).
6. Multicomponent soliton bound states of a coherently coupled optical media
K. Sakkaravarthi*, T. Kanna and M. Lakshmanan (Talk & Full Paper)
Optical Society of India - International Conference on Advances in Optics and Photonics (OSI-ICAOP)
Guru Jambeshwar University of Science and Technology, Hisar, Haryana, India, 23 – 26 November 2017.
5. Resonant Solitons and Breathers in Higher Dimension: A Study on Long-wave--Short-wave System
K. Sakkaravarthi*, T. Kanna and M. Lakshmanan (Talk & Short Paper)
The Tenth Conference on Nonlinear Systems and Dynamics (CNSD 2016)
Indian Institute of Science Education and Research, Kolkata, India, 16 – 18 December 2016.
4. Dynamics of dark solitons in multicomponent Yajima-Oikawa system
K. Sakkaravarthi* and T. Kanna (Talk & Full Paper)
10th AIMS Conference on Dynamical Systems, Differential Equations and Applications
The Instituto de Ciencias Matemáticas (ICMAT), Madrid, Spain, 7 – 11 July 2014.
3. Bilinearization of three component Gross-Pitaevskii equations using a non-standard approach and soliton solutions
T.Kanna* and K. Sakkaravarthi (Full Paper)
Sixth International Federation of Nonlinear Analysts (IFNA) Conference
University of Athens, Greece, 26 June – 2 July 2012.
2. Soliton collision dynamics in the general-coupled nonlinear Schrödinger system
K. Sakkaravarthi* and T. Kanna (Talk & Full Paper)
Heber International Conference on the Applications of Mathematics and Statistics (HICAMS 2012)
Bishop Heber College, Tiruchirappalli, India, 5 – 7 January 2012.
1. Novel double hump solitons in coherently coupled nonlinear Schrödinger equations
T. Kanna* and K. Sakkaravarthi (Full Paper)
National Conference on Nonlinear Systems and Dynamics (NCNSD 2011)
Bharathidasan University, Tiruchirappalli, India, 27 – 30 January 2011.