On the extended applications of homogenous balance method M Senthilvelan Applied Mathematics and Computation 123 (3), 381-388, 2001 | 190 | 2001 |
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 | 165 | 2005 |
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 | 135 | 2004 |
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 | 125 | 2013 |
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 | 109 | 2006 |
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 | 85 | 2007 |
Nondegenerate solitons in Manakov system S Stalin, R Ramakrishnan, M Senthilvelan, M Lakshmanan Physical review letters 122 (4), 043901, 2019 | 76 | 2019 |
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 | 69 | 2014 |
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 | 65 | 2015 |
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 | 63 | 2004 |
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 | 58 | 2007 |
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 | 52 | 2014 |
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 | 51 | 1998 |
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 | 50 | 2005 |
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 | 49 | 2009 |
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 | 48 | 2000 |
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 | 46 | 2012 |