output
20072021
most citedBright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations

191 citations

18 papers

quant-ph2021★ 1 cited

Weak Measurement effects on dynamics of quantum correlations in a Two-atom System in Thermal Reservoirs

N. Ananth, R. Muthuganesan, V. K. Chandrasekar

The dynamical behavior of quantum correlations captured by different forms Measurement-Induced Nonlocality (MIN) between two atoms coupled with thermal reservoirs is investigated a…

nlin.SI2021★ 32 cited

Painlevé Analysis and Higher-Order Rogue Waves of a Generalized(3+1)-dimensional Shallow Water Wave Equation

Sudhir Singh, K. Sakkaravarthi, T. Tamizhmani +1

Considering the importance of ever-increasing interest in exploring localized waves, we investigate a generalized (3+1)-dimensional Hirota-Satsuma-Ito equation describing the unidi…

nlin.PS2019★ 18 cited

Spatially modulated two- and three-component Rabi-coupled Gross-Pitaevskii systems

T. Kanna, A. Annamalar Sheela, R. Babu Mareeswaran

Vector rogue wave (RW) formation and their dynamics in Rabi coupled two- and three-species Bose-Einstein condensates with spatially varying dispersion and nonlinearity are studied.…

math.NA2018★ 5 cited

A parameter uniform fitted mesh method for a weakly coupled system of two singularly perturbed convection-diffusion equations

Saravana Sankar Kalaiselvan, John J. H. Miller, Valarmathi Sigamani

In this paper, a boundary value problem for a singularly perturbed linear system of two second order ordinary differential equations of convection- diffusion type is considered on…

nlin.PS2018★ 21 cited

Harnessing energy sharing collisions of Manakov solitons to implement universal NOR and OR logic gates

M. Vijayajayanthi, T. Kanna, K. Murali +1

The energy sharing collision of bright optical solitons in the Manakov system, governing pulse propagation in high birefringent fiber, is employed theoretically to realize optical…

nlin.SI2018★ 21 cited

Lie symmetry analysis and group invariant solutions of the nonlinear Helmholtz equation

K. Sakkaravarthi, A. G. Johnpillai, A. Durga Devi +2

We consider the nonlinear Helmholtz (NLH) equation describing the beam propagation in a planar waveguide with Kerr-like nonlinearity under non-paraxial approximation. By applying t…

nlin.PS2017

Non-autonomous bright solitons and their stability in Rabi coupled binary Bose-Einstein Condensates

T. Kanna, R. Babu Mareeswaran, Franz G. Mertens

The dynamics of non-autonomous bright matter-wave solitons in Rabi coupled binary Bose-Einstein condensates is explored. By performing a unitary and similarity/lens-type transforma…

nlin.PS2015★ 17 cited

Novel energy sharing collisions of multicomponent solitons

T Kanna, K Sakkaravarthi, M Vijayajayanthi

In this paper, we discus the fascinating energy sharing collisions of multicomponent solitons in certain incoherently coupled and coherently coupled nonlinear Schrödinger type equa…

nlin.PS2015★ 5 cited

Dynamics of solitons in multicomponent long wave-short wave resonance interaction system

T Kanna, K Sakkaravarthi, M Vijayajayanthi +1

In this paper, we study the formation of solitons, their propagation and collision behaviour in an integrable multicomponent (2+1)-dimensional long wave-short wave resonance intera…

nlin.SI2015★ 16 cited

Explicit construction of single input - single output logic gates from three soliton solution of Manakov system

M. Vijayajayanthi, T. Kanna, M. Lakshmanan +1

We construct single input logic gates using the energy sharing collisions of a minimal number of (three) bright optical solitons associated with the three soliton solution of the i…

nlin.PS2015★ 34 cited

Nonparaxial elliptic waves and solitary waves in coupled nonlinear Helmholtz equations

K. Tamilselvan, T. Kanna, Avinash Khare

We obtain a class of elliptic wave solutions of coupled nonlinear Helmholtz (CNLH) equations describing nonparaxial ultra-broad beam propagation in nonlinear Kerr-like media, in te…

nlin.PS2014★ 42 cited

General multicomponent Yajima-Oikawa system: Painlevé analysis, soliton solutions, and energy-sharing collisions

T. Kanna, K. Sakkaravarthi, K. Tamilselvan

We consider the multicomponent Yajima-Oikawa (YO) system and show that the two-component YO system can be derived in a physical setting of three-coupled nonlinear Schrödinger (3-CN…

nlin.PS2013★ 22 cited

Non-autonomous bright matter wave solitons in spinor Bose-Einstein condensates

T. Kanna, R. Babu Mareeswaran, K. Sakkaravarthi

We investigate the dynamics of bright matter wave solitons in spin-1 Bose-Einstein condensates with time modulated nonlinearities. We obtain soliton solutions of an integrable auto…

nlin.PS2010★ 98 cited

Coherently coupled bright optical solitons and their collisions

T. Kanna, M. Vijaya Jayanthi, M. Lakshmanan

We obtain explicit bright one- and two-soliton solutions of the integrable case of the coherently coupled nonlinear Schr{ö}dinger equations by applying a non-standard form of the H…

math.NA2010★ 6 cited

Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear reaction-diffusion system

M. Paramasivam, S. Valarmathi, J. J. H. Miller

A singularly perturbed linear system of second order ordinary differential equations of reaction-diffusion type with given boundary conditions is considered. The leading term of ea…

nlin.SI2009★ 20 cited

Painlev{é} singularity structure analysis of three component Gross-Pitaevskii type equations

T. Kanna, K. Sakkaravarthi, C. Senthil Kumar +2

In this paper, we have studied the integrability nature of a system of three coupled Gross-Pitaevskii type nonlinear evolution equations arising in the context of spinor Bose-Einst…

math.NA2009★ 1 cited

A parameter--uniform finite difference method for a singularly perturbed linear system of second order ordinary differential equations of reaction-diffusion type

M. Paramasivam, S. Valarmathi, J. J. H. Miller

A singularly perturbed linear system of second order ordinary differential equations of reaction-diffusion type with given boundary conditions is considered. The leading term of ea…

nlin.SI2007★ 191 cited

Bright-dark solitons and their collisions in mixed N-coupled nonlinear Schrödinger equations

M. Vijayajayanthi, T. Kanna, M. Lakshmanan

Mixed type (bright-dark) soliton solutions of the integrable N-coupled nonlinear Schr{ö}dinger (CNLS) equations with mixed signs of focusing and defocusing type nonlinearity coeffi…