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Senthilvelan Murugaian
Senthilvelan Murugaian
Professor, Department of Nonlinear Dynamics, School of Physics, Bharathidasan University
Verified email at cnld.bdu.ac.in
Title
Cited by
Cited by
Year
On the extended applications of homogenous balance method
M Senthilvelan
Applied Mathematics and Computation 123 (3), 381-388, 2001
1912001
On the complete integrability and linearization of certain second-order nonlinear ordinary differential equations
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Proceedings of the Royal society A : Mathematical, Physical and Engineering …, 2005
1652005
A nonlinear oscillator with unusual dynamical properties
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Proceedings of 3rd National Conference on Nonlinear Systems and Dynamics, 1-4, 2006
137*2006
A non-linear oscillator with quasi-harmonic behaviour: two-and n-dimensional oscillators
JF Cariñena, MF Rañada, M Santander, M Senthilvelan
Nonlinearity 17 (5), 1941-1963, 2004
1352004
Akhmediev breathers, Ma solitons, and general breathers from rogue waves: A case study in the Manakov system
N Vishnu Priya, M Senthilvelan, M Lakshmanan
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 88 (2 …, 2013
1252013
A simple and unified approach to identify integrable nonlinear oscillators and systems
VK Chandrasekar, SN Pandey, M Senthilvelan, M Lakshmanan
Journal of Mathematical Physics 47 (2), 023508, 2006
1092006
On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Journal of Mathematical Physics 48 (3), 032701, 2007
852007
Nondegenerate solitons in Manakov system
S Stalin, R Ramakrishnan, M Senthilvelan, M Lakshmanan
Physical review letters 122 (4), 043901, 2019
772019
Classification of Lie point symmetries for quadratic Liénard type equation ẍ+ f (x) ẋ^2+ g (x)= 0
AK Tiwari, SN Pandey, M Senthilvelan, M Lakshmanan
Journal of Mathematical Physics 54 (5), 053506, 2013
75*2013
Manipulating matter rogue waves and breathers in Bose-Einstein condensates
K Manikandan, P Muruganandam, M Senthilvelan, M Lakshmanan
Physical Review E 90 (6), 062905, 2014
692014
Impact of symmetry breaking in networks of globally coupled oscillators
K Premalatha, VK Chandrasekar, M Senthilvelan, M Lakshmanan
Physical Review E 91 (5), 052915, 2015
652015
New aspects of integrability of force-free Duffing–van der Pol oscillator and related nonlinear systems
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Journal of Physics A: Mathematical and General 37 (16), 4527, 2004
632004
On the general solution for the modified Emden-type equation
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Journal of Physics A: Mathematical and Theoretical 40 (18), 4717, 2007
582007
Dark solitons, breathers, and rogue wave solutions of the coupled generalized nonlinear Schrödinger equations
N Vishnu Priya, M Senthilvelan, M Lakshmanan
Physical Review E 89 (6), 062901, 2014
522014
On the complete integrability and linearization of nonlinear ordinary differential equations. II. Third-order equations
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2006
51*2006
Lie symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2+ 1)-dimensional nonlinear evolution equations
M Senthil Velan, M Lakshmanan
Journal of Nonlinear Mathematical Physics 5 (2), 190-211, 1998
511998
A unification in the theory of linearization of second-order nonlinear ordinary differential equations
VK Chandrasekar, M Senthilvelan, M Lakshmanan
Journal of Physics A: Mathematical and General 39 (3), L69, 2005
502005
Nonstandard conserved Hamiltonian structures in dissipative/damped systems: Nonlinear generalizations of damped harmonic oscillator
R Gladwin Pradeep, VK Chandrasekar, M Senthilvelan, M Lakshmanan
Journal of Mathematical Physics 50 (5), 052901, 2009
492009
Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa–Holm equation
RA Kraenkel, M Senthilvelan, AI Zenchuk
Physics Letters A 273 (3), 183-193, 2000
482000
Exact quantization of a PT-symmetric (reversible) Liénard-type nonlinear oscillator
VC Ruby, M Senthilvelan, M Lakshmanan
Journal of Physics A: Mathematical and Theoretical 45 (38), 382002, 2012
462012
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